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Journal articles on the topic 'Compactness'

Author: Grafiati

Published: 4 June 2021

Last updated: 10 February 2024

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1

MALYKHIN, VIACHESLAV I., and MICHAEL V. MATVEEV. "Inverse Compactness Versus Compactness." Annals of the New York Academy of Sciences 767, no. 1 Papers on Gen (September 1995): 153–60. http://dx.doi.org/10.1111/j.1749-6632.1995.tb55902.x.

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2

Bella, Angelo, and Peter Nyikos. "Sequential compactness vs. countable compactness." Colloquium Mathematicum 120, no. 2 (2010): 165–89. http://dx.doi.org/10.4064/cm120-2-1.

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3

Kanovei, V. G., and V. A. Lyubetsky. "Effective compactness and sigma-compactness." Mathematical Notes 91, no. 5-6 (May 2012): 789–99. http://dx.doi.org/10.1134/s0001434612050252.

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4

Costantini, Camillo, Sandro Levi, and Jan Pelant. "Compactness and local compactness in hyperspaces." Topology and its Applications 123, no. 3 (September 2002): 573–608. http://dx.doi.org/10.1016/s0166-8641(01)00222-x.

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5

Kirk, W. A. "Compactness and countable compactness in weak topologies." Studia Mathematica 112, no. 3 (1995): 243–50. http://dx.doi.org/10.4064/sm-112-3-243-250.

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6

Rudin, Mary Ellen, Ian S. Stares, and Jerry E. Vaughan. "From countable compactness to absolute countable compactness." Proceedings of the American Mathematical Society 125, no. 3 (1997): 927–34. http://dx.doi.org/10.1090/s0002-9939-97-04030-6.

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7

Lipparini, Paolo. "Ordinal compactness." Filomat 34, no. 4 (2020): 1117–45. http://dx.doi.org/10.2298/fil2004117l.

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We introduce a new covering property, defined in terms of order types of sequences of open sets, rather than in terms of cardinalities. The most general form depends on two ordinal parameters. Ordinal compactness turns out to be a much more varied notion than cardinal compactness. We prove many nontrivial results of the form ?every [?,?]-compact topological space is [?',?']-compact?, for ordinals ?,?, ?'and ?' while only trivial results of the above form hold, if we restrict to regular cardinals. Counterexamples are provided showing that many results are optimal. Many spaces satisfy the very same cardinal compactness properties, but have a broad range of distinct behaviors, as far as ordinal compactness is concerned. A much more refined theory is obtained for T1 spaces, in comparison with arbitrary topological spaces. The notion of ordinal compactness becomes partly trivial for spaces of small cardinality.

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8

Bahmani, Zargham. "Lipschitz Compactness." Mathematical Sciences Letters 3, no. 2 (May 1, 2014): 131–32. http://dx.doi.org/10.12785/msl/030209.

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9

Khurana, Surjit Singh. "Eberlein compactness." Rocky Mountain Journal of Mathematics 44, no. 1 (February 2014): 179–87. http://dx.doi.org/10.1216/rmj-2014-44-1-179.

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10

Lyu, Jun. "Edit compactness." Nature Plants 6, no. 3 (March 2020): 180. http://dx.doi.org/10.1038/s41477-020-0623-5.

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11

Fedeli, A., J. Reiterman, and A. Tozzi. "Onwα-compactness." Discrete Mathematics 108, no. 1-3 (October 1992): 13–23. http://dx.doi.org/10.1016/0012-365x(92)90655-y.

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12

Matveev, Michael V. "Inverse compactness." Topology and its Applications 62, no. 2 (March 1995): 181–91. http://dx.doi.org/10.1016/0166-8641(94)00057-a.

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13

Payette, Gillman, and Blaine d'Entremont. "Level Compactness." Notre Dame Journal of Formal Logic 47, no. 4 (October 2006): 545–55. http://dx.doi.org/10.1305/ndjfl/1168352667.

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14

Lipparini, Paolo. "Ordinal compactness." Filomat 34, no. 4 (2020): 1117–45. http://dx.doi.org/10.2298/fil2004117l.

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Abstract:

We introduce a new covering property, defined in terms of order types of sequences of open sets, rather than in terms of cardinalities. The most general form depends on two ordinal parameters. Ordinal compactness turns out to be a much more varied notion than cardinal compactness. We prove many nontrivial results of the form ?every [?,?]-compact topological space is [?',?']-compact?, for ordinals ?,?, ?'and ?' while only trivial results of the above form hold, if we restrict to regular cardinals. Counterexamples are provided showing that many results are optimal. Many spaces satisfy the very same cardinal compactness properties, but have a broad range of distinct behaviors, as far as ordinal compactness is concerned. A much more refined theory is obtained for T1 spaces, in comparison with arbitrary topological spaces. The notion of ordinal compactness becomes partly trivial for spaces of small cardinality.

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15

Kim, Y. W. "Pairwise compactness." Publicationes Mathematicae Debrecen 15, no. 1-4 (July 1, 2022): 87–90. http://dx.doi.org/10.5486/pmd.1968.15.1-4.12.

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16

Diener, Hannes. "Generalising compactness." MLQ 54, no. 1 (February 2008): 49–57. http://dx.doi.org/10.1002/malq.200710041.

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17

Angosto, C., and B. Cascales. "The quantitative difference between countable compactness and compactness." Journal of Mathematical Analysis and Applications 343, no. 1 (July 2008): 479–91. http://dx.doi.org/10.1016/j.jmaa.2008.01.051.

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18

Renuka, R., and V. Seenivasan. "On Intuitionistic Fuzzyβ-Almost Compactness andβ-Nearly Compactness." Scientific World Journal 2015 (2015): 1–5. http://dx.doi.org/10.1155/2015/869740.

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The concept of intuitionistic fuzzyβ-almost compactness and intuitionistic fuzzyβ-nearly compactness in intuitionistic fuzzy topological spaces is introduced and studied. Besides giving characterizations of these spaces, we study some of their properties. Also, we investigate the behavior of intuitionistic fuzzyβ-compactness, intuitionistic fuzzyβ-almost compactness, and intuitionistic fuzzyβ-nearly compactness under several types of intuitionistic fuzzy continuous mappings.

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19

Çelik, Mehmet, and Yunus E. Zeytuncu. "Obstructions for compactness of Hankel operators: Compactness multipliers." Illinois Journal of Mathematics 60, no. 2 (2016): 563–85. http://dx.doi.org/10.1215/ijm/1499760023.

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20

Chiswell, Ian, Thomas W. Müller, and Jan-Christoph Schlage-Puchta. "Compactness and local compactness for $${\mathbb{R}}$$ -trees." Archiv der Mathematik 91, no. 4 (August 28, 2008): 372–78. http://dx.doi.org/10.1007/s00013-008-2578-z.

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21

Zhang, Fang Juan, and Shi Zhong Bai. "Strong N _β-Compactness in L-Topological Spaces." Advanced Materials Research 846-847 (November 2013): 1278–81. http://dx.doi.org/10.4028/www.scientific.net/amr.846-847.1278.

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In this paper,the new compactness which is strong-compactness is introduced for an arbitrary-subset and for a complete distributive De Morgan algebra. The strong-compactness implies strong-III-compactness,hence it also implies strong-II-compactness,strong-I-compactness,-compactness,-compactness and Lowen's fuzzy compactness. But it is different from-compactness.When ,strong-compactness is equivalent to-compactness.

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22

Yao, Ping Xi, and Liang Jiang Zhao. "Simulation of Vibrating Forming Process of Concrete Brick Based on DEM." Advanced Materials Research 461 (February 2012): 661–65. http://dx.doi.org/10.4028/www.scientific.net/amr.461.661.

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The forming compact process of the concrete brick in vibration is simulated based on three-dimensional discrete element method (3D-DEM) where the crude granular materials of the concrete brick are simplified into two spherical particles of different sizes. There are three zones affecting compactness in vibration including porous zone, compact zone, and compact stable zone. The compactness's variation of the different heights and the above three zone are analyzed when both the amplitude and the frequency are different. By orthogonal experiment the result is showed that the average compactness is best when the amplitude is about 4 mm and the frequency is 100 Hz.

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23

Rishanthini, R., and P. Elango. "ON COMPACTNESS IN BI-GENERALIZED TOPOLOGICAL SPACES." JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES 10, no. 02 (June 30, 2023): 213–26. http://dx.doi.org/10.56827/jrsmms.2023.1002.16.

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In this paper, we define compactness for all open sets defined in bigeneralized topological spaces such as: μ(m,n)-semi compactness, μ(m,n)-pre compactness, μ(m,n)-regular compactness, μ(m,n)-α-compactness, μ(m,n)-β-compactness, μ(m,n)-compactness and (m, n)-compactness. For our investigation, we choose μ(m,n)- semi compactness as a base space and studies the relationships between the μ(m,n)- semi compactness and other compactness in bi-generalized topological spaces.

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24

Anoop, T. V., and Ujjal Das. "The compactness and the concentration compactness via p-capacity." Annali di Matematica Pura ed Applicata (1923 -) 200, no. 6 (April 7, 2021): 2715–40. http://dx.doi.org/10.1007/s10231-021-01098-2.

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25

Keremedis, Kyriakos, Evangelos Felouzis, and Eleftherios Tachtsis. "On the Compactness and Countable Compactness of 2Rin ZF." Bulletin of the Polish Academy of Sciences Mathematics 55, no. 4 (2007): 293–302. http://dx.doi.org/10.4064/ba55-4-1.

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26

El Gayyar, M. K., E. E. Kerre, and A. A. Ramadan. "Almost compactness and near compactness in smooth topological spaces." Fuzzy Sets and Systems 62, no. 2 (March 1994): 193–202. http://dx.doi.org/10.1016/0165-0114(94)90059-0.

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27

Baboolal, D., J. Backhouse, and R. G. Ori. "On weaker forms of compactness Lindelöfness and countable compactness." International Journal of Mathematics and Mathematical Sciences 13, no. 1 (1990): 55–59. http://dx.doi.org/10.1155/s0161171290000084.

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A theory of e-countable compactness and e-Lindelöfness which are weaker than the concepts of countable compactness and Lindelöfness respectively is developed. Amongst other results we show that an e-countably compact space is pseudocompact, and an example of a space which is pseudocompact but not e-countably compact with respect to any dense set is presented. We also show that every e-Lindelöf metric space is separable.

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28

Eş, A. Haydar. "Almost compactness and near compactness in fuzzy topological spaces." Fuzzy Sets and Systems 22, no. 3 (June 1987): 289–95. http://dx.doi.org/10.1016/0165-0114(87)90072-8.

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29

Hu, Xinyue, Han Yan, Deng Wang, Zhuoqun Zhao, Guoqin Zhang, Tao Lin, and Hong Ye. "A Promotional Construction Approach for an Urban Three-Dimensional Compactness Model—Law-of-Gravitation-Based." Sustainability 12, no. 17 (August 21, 2020): 6777. http://dx.doi.org/10.3390/su12176777.

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Urban sprawl has led to various economic, social, and environmental problems. Therefore, it is very significant to improve the efficiency of resource usage and promote the development of compact urban form. It is a common topic that measuring urban compactness is done with certain ways and methods as well. Presently, most urban compactness measurement methods are based on two-dimensional (2D) formats, but methods based on three-dimensional (3D) formats that can precisely describe the actual urban spatial conditions are still lacking. To measure the compactness of the 3D urban spatial form accurately, a 3D Compactness Index (VCI) was established based on the Law of Gravitation and the quantitative measurement model. In this model, larger 3D Compactness Index values indicate a more 3D-compact city. However, different urban scales may influence the discrepancy scale of different cities. Thus, the 3D Compactness Index model was normalized as the Normalized 3D Compactness Index (NVCI) to eliminate such discrepancies. In the Normalized 3D Compactness Index model, a sphere with the same volume of real urban buildings in the city was assumed as the most compact 3D urban form, and which was also calculated by 3D Compactness Index processing. The compactness value of the normalized 3D urban form is obtained by comparing the 3D Compactness Index with the most compact 3D urban form. In this study, 1149 typical communities in Xiamen, China, were selected as the experimental fields to verify the index. Some of communities have a quite different Normalized 3D Compactness Index, although they have a similar Normalized 2D Compactness Index (NCI), respectively. Moreover, comparing with the 2D Compactness Index (CI) and Normalized 2D Compactness Index (NCI), the 3D Compactness Index and Normalized 3D Compactness Index can describe and explain reality more precisely. The constructed 3D urban compactness model is expected to contribute to scientific study on urban compactness.

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30

Jaramillo, Jesús Ángel, Ángeles Prieto, and Ignacio Zalduendo. "Linearization and compactness." Studia Mathematica 191, no. 2 (2009): 181–200. http://dx.doi.org/10.4064/sm191-2-6.

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31

Davis, Brian L., and Iwo Labuda. "Unity of compactness." Quaestiones Mathematicae 30, no. 2 (June 2007): 193–206. http://dx.doi.org/10.2989/16073600709486193.

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32

Tull, Sean. "Deriving Dagger Compactness." Electronic Proceedings in Theoretical Computer Science 318 (May 1, 2020): 181–95. http://dx.doi.org/10.4204/eptcs.318.11.

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33

Stegall, Charles. "Weak Compactness Today." Bulletin of the London Mathematical Society 24, no. 6 (November 1992): 587–90. http://dx.doi.org/10.1112/blms/24.6.587.

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34

Ewing, Reid, and Shima Hamidi. "Compactness versus Sprawl." Journal of Planning Literature 30, no. 4 (July 22, 2015): 413–32. http://dx.doi.org/10.1177/0885412215595439.

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In 1997, the Journal of the American Planning Association published a pair of point–counterpoint articles now listed by the American Planning Association as “classics” in the urban planning literature. In the first article, “Are Compact Cities Desirable?” Gordon and Richardson argued in favor of urban sprawl as a benign response to consumer preferences. In the counterpoint article, “Is Los Angeles-Style Sprawl Desirable?” Ewing argued for compact cities as an alternative to sprawl. It is time to reprise the debate. This article summarizes the literature on urban sprawl characteristics and measurements, causes, impacts, and remedies since the original debate.

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35

Soriano, J. M. "A compactness condition." Applied Mathematics and Computation 124, no. 3 (December 2001): 397–402. http://dx.doi.org/10.1016/s0096-3003(00)00114-4.

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36

Li-xin, Xuan. "N-sequential compactness." Fuzzy Sets and Systems 35, no. 1 (March 1990): 93–100. http://dx.doi.org/10.1016/0165-0114(90)90021-w.

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37

Warner, M. W. "On fuzzy compactness." Fuzzy Sets and Systems 80, no. 1 (May 1996): 15–22. http://dx.doi.org/10.1016/0165-0114(95)00132-8.

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38

K�nig, Bernhard. "Generic compactness reformulated." Archive for Mathematical Logic 43, no. 3 (April 1, 2004): 311–26. http://dx.doi.org/10.1007/s00153-003-0211-1.

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39

Nasir, Ahmed Ibrahem, and Rana Bahjat Esmaeel. "N-C-Compactness." Journal of Al-Nahrain University Science 14, no. 3 (September 1, 2011): 129–34. http://dx.doi.org/10.22401/jnus.14.3.20.

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40

Nasir, Ahmed Ibrahem. "Strongly C-Compactness." Journal of Al-Nahrain University Science 15, no. 1 (March 1, 2012): 140–44. http://dx.doi.org/10.22401/jnus.15.1.22.

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41

Aygün, Halis, A. Arzu Bural, and S. R. T. Kudri. "Fuzzy Inverse Compactness." International Journal of Mathematics and Mathematical Sciences 2008 (2008): 1–9. http://dx.doi.org/10.1155/2008/436570.

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We introduce definitions of fuzzy inverse compactness, fuzzy inverse countable compactness, and fuzzy inverse Lindelöfness on arbitrary -fuzzy sets in -fuzzy topological spaces. We prove that the proposed definitions are good extensions of the corresponding concepts in ordinary topology and obtain different characterizations of fuzzy inverse compactness.

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42

Bridges, Douglas S. "Intuitionistic sequential compactness?" Indagationes Mathematicae 29, no. 6 (December 2018): 1477–96. http://dx.doi.org/10.1016/j.indag.2017.10.011.

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43

Dube, T. "Pointfree functional compactness." Acta Mathematica Hungarica 116, no. 3 (July 15, 2007): 223–37. http://dx.doi.org/10.1007/s10474-007-6031-8.

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44

Burchard, Almut, and Yan Guo. "Compactness via symmetrization." Journal of Functional Analysis 214, no. 1 (September 2004): 40–73. http://dx.doi.org/10.1016/j.jfa.2004.04.005.

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45

Georgiou, D. N., and B. K. Papadopoulos. "On Fuzzy Compactness." Journal of Mathematical Analysis and Applications 233, no. 1 (May 1999): 86–101. http://dx.doi.org/10.1006/jmaa.1999.6268.

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46

Dey, Sudeep, and Gautam Chandra Ray. "Neutrosophic Pre-compactness." International Journal of Neutrosophic Science 20, no. 1 (2023): 105–20. http://dx.doi.org/10.54216/ijns.210110.

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The purpose of this article is to study some covering properties in neutrosophic topological spaces via neutrosophic pre-open sets. We define neutrosophic pre-open cover, neutrosophic pre-compactness, neutrosophic countably pre-compactness and neutrosophic pre-Lindel¨ofness and study various properties connecting them. We study some properties involving neutrosophic continuous and neutrosophic pre-continuous functions. We also define neutrosophic pre-base, neutrosophic pre-subbase, neutrosophic pre∗-open function, neutrosophic pre-irresolute function and study some properties. In addition to that, we define and study neutrosophic local pre-compactness.

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47

Kimura, Takashi. "Gaps between compactness degree and compactness deficiency for Tychonoff spaces." Tsukuba Journal of Mathematics 10, no. 2 (December 1986): 263–68. http://dx.doi.org/10.21099/tkbjm/1496160456.

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48

Fabian, Marián, and Boris S. Mordukhovich. "Sequential normal compactness versus topological normal compactness in variational analysis." Nonlinear Analysis: Theory, Methods & Applications 54, no. 6 (September 2003): 1057–67. http://dx.doi.org/10.1016/s0362-546x(03)00126-3.

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49

Weber, Hans. "Pointwise sequential compactness and weak compactness in spaces of contents." Rendiconti del Circolo Matematico di Palermo 34, no. 1 (January 1985): 56–78. http://dx.doi.org/10.1007/bf02844885.

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50

BAYHAN, SADIK. "ON ALMOST COMPACTNESS AND NEAR COMPACTNESS IN L-TOPOLOGICAL SPACES." New Mathematics and Natural Computation 05, no. 02 (July 2009): 385–95. http://dx.doi.org/10.1142/s1793005709001374.

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The present paper studies several compactness and continuity notions based on the quadruple M = (L,≤,⊗,*), where (L,≤), ⊗ and * respectively denote a complete lattice and binary operations on L, satisfying some further axioms, was introduced by Höhle and Sostak.1,2

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