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Journal articles on the topic 'Baire spaces'

Author: Grafiati

Published: 4 June 2021

Last updated: 15 February 2022

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1

Doboš, Jozef, Z. Piotrowski, and I. L. Reilly. "Preimages of Baire spaces." Mathematica Bohemica 119, no. 4 (1994): 373–79. http://dx.doi.org/10.21136/mb.1994.126122.

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2

Ostaszewski, A. J. "Analytic Baire spaces." Fundamenta Mathematicae 217, no. 3 (2012): 189–210. http://dx.doi.org/10.4064/fm217-3-1.

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3

Renukadevi, V., and T. Muthulakshmi. "Weak Baire Spaces." Kyungpook mathematical journal 55, no. 1 (March 23, 2015): 181–89. http://dx.doi.org/10.5666/kmj.2015.55.1.181.

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4

Pytkeev, E. G. "Baire functions and spaces of Baire functions." Journal of Mathematical Sciences 136, no. 5 (August 2006): 4131–55. http://dx.doi.org/10.1007/s10958-006-0224-5.

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5

Simsekler, Tugba Han, Naime Tozlu, and Saziye Yuksel. "\beta-Baire spaces and \beta-Baire property." International Journal of Contemporary Mathematical Sciences 11 (2016): 211–16. http://dx.doi.org/10.12988/ijcms.2016.612.

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6

Foran, James, and Paul Liebnitz. "Expansions of Baire Spaces." Missouri Journal of Mathematical Sciences 1, no. 3 (October 1989): 2–10. http://dx.doi.org/10.35834/1989/0103002.

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7

Gruenhage, Gary, and David Lutzer. "Baire and Volterra spaces." Proceedings of the American Mathematical Society 128, no. 10 (March 2, 2000): 3115–25. http://dx.doi.org/10.1090/s0002-9939-00-05346-6.

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8

Li, Zhaowen, and Funing Lin. "On I-Baire spaces." Filomat 27, no. 2 (2013): 301–10. http://dx.doi.org/10.2298/fil1302301l.

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9

Ghareeb, A. "SOFT WEAK BAIRE SPACES." Journal of the Egyptian Mathematical Society 26, no. 3 (July 1, 2018): 395–405. http://dx.doi.org/10.21608/joems.2018.2729.1028.

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10

Et. al., R. Vijayalakshmi,. "Neutrosophic β-Baire Spaces." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 1S (April 11, 2021): 338–42. http://dx.doi.org/10.17762/turcomat.v12i1s.1839.

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in this paper the concept of neutrosophic β-Baire spaces are introduced and characterization of neutrosophic β -Baire spaces are studied. Examples are given to illustrate the concepts introduced in this paper.

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11

Saxon, Stephen A. "Non-Baire hyperplanes in non-separable Baire spaces." Journal of Mathematical Analysis and Applications 168, no. 2 (August 1992): 460–68. http://dx.doi.org/10.1016/0022-247x(92)90172-a.

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12

Banakh, T., and S. Gabriyelyan. "Baire category properties of some Baire type function spaces." Topology and its Applications 272 (March 2020): 107078. http://dx.doi.org/10.1016/j.topol.2020.107078.

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13

Hernández, Constancio, Leonardo Rodríguez Medina, and Mikhail G. Tkachenko. "Baire property in product spaces." Applied General Topology 16, no. 1 (February 5, 2015): 1. http://dx.doi.org/10.4995/agt.2015.3439.

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14

Zsilinszky, László. "Products of Baire spaces revisited." Fundamenta Mathematicae 183, no. 2 (2004): 115–21. http://dx.doi.org/10.4064/fm183-2-3.

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15

Ayerbe Toledano, J. M. "Category measures on Baire spaces." Publicacions Matemàtiques 34 (July 1, 1990): 299–305. http://dx.doi.org/10.5565/publmat_34290_09.

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16

Hola, Lubica. "Functional Characterizations of Baire Spaces." Proceedings of the American Mathematical Society 109, no. 4 (August 1990): 1121. http://dx.doi.org/10.2307/2048145.

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17

Poongothai, E., and G. Thangaraj. "On Fuzzy Soft Baire Spaces." International Journal of Advanced Science and Engineering 4, no. 4 (May 27, 2018): 755. http://dx.doi.org/10.29294/ijase.4.4.2018.755-758.

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18

Poongothai, E., and G. Priya. "Fuzzy Supra α - Baire Spaces." International Journal of Advanced Science and Engineering 5, no. 1 (August 24, 2018): 857. http://dx.doi.org/10.29294/ijase.5.1.2018.857-861.

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19

Jankovic, Dragan, Maximillian Ganster, and Ivan Reilly. "A Characterization of Baire Spaces." American Mathematical Monthly 98, no. 7 (August 1991): 624. http://dx.doi.org/10.2307/2324929.

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20

Janković, Dragan, Maximillian Ganster, and Ivan Reilly. "A Characterization of Baire Spaces." American Mathematical Monthly 98, no. 7 (August 1991): 624–25. http://dx.doi.org/10.1080/00029890.1991.11995767.

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21

Zsilinszky, László. "Baire spaces and hyperspace topologies." Proceedings of the American Mathematical Society 124, no. 8 (August 1, 1996): 2575–84. http://dx.doi.org/10.1090/s0002-9939-96-03528-9.

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22

Piotrowski, Zbigniew, and Russell Waller. "Baire and weakly Namioka spaces." Topology and its Applications 159, no. 15 (September 2012): 3294–99. http://dx.doi.org/10.1016/j.topol.2012.07.006.

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23

Das, Tushar, and Mariusz Urbański. "The geometry of Baire spaces." Dynamical Systems 26, no. 4 (November 2, 2011): 537–67. http://dx.doi.org/10.1080/14689367.2011.628010.

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24

Khomskii, Yurii, Giorgio Laguzzi, Benedikt Löwe, and Ilya Sharankou. "Questions on generalised Baire spaces." Mathematical Logic Quarterly 62, no. 4-5 (August 2016): 439–56. http://dx.doi.org/10.1002/malq.201600051.

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25

Borsík, Ján, Lubica Holá, and Dusan Holý. "Baire spaces and quasicontinuous mappings." Filomat 25, no. 3 (2011): 69–83. http://dx.doi.org/10.2298/fil1103069b.

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The notion of quasicontinuity was perhaps the first time used by R. Baire in [2]. Let X, Y be topological spaces and Q(X,Y) be the space of quasicontinuous mappings from X to Y. If X is a Baire space and Y is metrizable, in Q(X,Y) we can approach each (x, y) in the graph Grf of f along some trajectory of the form {(xk, fnk (xk )): k??} if and only if we can approach most points along a vertical trajectory. This result generalizes Theorem 5 from [3]. Moreover in the class of topological spaces with the property QP we give a characterization of Baire spaces by the above mentioned fact. We also study topological spaces with the property QP.

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26

Cao, Jiling, Salvador García-Ferreira, and Valentin Gutev. "Baire spaces and Vietoris hyperspaces." Proceedings of the American Mathematical Society 135, no. 01 (August 16, 2006): 299–303. http://dx.doi.org/10.1090/s0002-9939-06-08743-0.

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27

Noll, Dominik. "Baire spaces and graph theorems." Proceedings of the American Mathematical Society 96, no. 1 (January 1, 1986): 141. http://dx.doi.org/10.1090/s0002-9939-1986-0813827-1.

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28

Holá, \soft{L}ubica. "Functional characterizations of Baire spaces." Proceedings of the American Mathematical Society 109, no. 4 (April 1, 1990): 1121. http://dx.doi.org/10.1090/s0002-9939-1990-0986650-6.

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29

Galvin, Fred, and Marion Scheepers. "Baire spaces and infinite games." Archive for Mathematical Logic 55, no. 1-2 (December 19, 2015): 85–104. http://dx.doi.org/10.1007/s00153-015-0461-8.

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30

Shelah, Saharon, and Stevo Todorcevic. "A Note on Small Baire Spaces." Canadian Journal of Mathematics 38, no. 3 (June 1, 1986): 659–65. http://dx.doi.org/10.4153/cjm-1986-033-8.

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A Baire space is a topological space which satisfies the Baire Category Theorem, i.e., in which the intersection of countably many dense open sets is dense. In this note we shall be interested in the size of Baire spaces, so to avoid trivialities we shall consider only non-atomic spaces, that is, spaces X whose regular open algebras ro(X) are non-atomic. All natural examples of Baire spaces, such as complete metric spaces or compact spaces, seem to have sizes at least 2ℵ0. So a natural question, asked first by W. Fleissner and K. Kunen [5], is whether there exists a Baire space of the minimal possible size ℵ1. The purpose of this note is to show that such a space need not exist by proving the following result.

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31

Tall, Franklin D., and Lyubomyr Zdomskyy. "Completely Baire spaces, Menger spaces, and projective sets." Topology and its Applications 258 (May 2019): 26–31. http://dx.doi.org/10.1016/j.topol.2019.02.056.

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32

Thangaraj, G., and S. Lokeshwari. "ON FUZZY BAIRE DENSE SETS AND FUZZY BAIRE RESOLVABLE SPACES." Advances in Fuzzy Sets and Systems 23, no. 2-3 (November 30, 2018): 93–116. http://dx.doi.org/10.17654/fs023230093.

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33

Mirmiran, Majid. "Insertion of a Contra-Baire-1 (Baire-.5) Function." Communications in Mathematics 27, no. 2 (December 1, 2019): 89–101. http://dx.doi.org/10.2478/cm-2019-0009.

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AbstractNecessary and sufficient conditions in terms of lower cut sets are given for the insertion of a Baire-.5 function between two comparable real-valued functions on the topological spaces that Fσ-kernel of sets are Fσ-sets.

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34

Çiçek, Mustafa. "On the inverse image of Baire spaces." International Journal of Mathematics and Mathematical Sciences 20, no. 3 (1997): 423–32. http://dx.doi.org/10.1155/s0161171297000586.

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In 1961, Z. Frolik proved that iffis an open and continuous mapping of a metrizable separable spaceXonto Baire spaceYand if the point inverses are Baire spaces, thenXis a Baire space. We give a generalization to semi-continuous and semi-open mapping of this theorem and extended it to the several types of mappings.

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35

Bourquin, Steven, and Laszlo Zsilinszky. "Baire spaces and hyperspace topologies revisited." Applied General Topology 15, no. 1 (April 1, 2014): 85. http://dx.doi.org/10.4995/agt.2014.1897.

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36

Valdivia, Manuel. "Products of Baire topological vector spaces." Fundamenta Mathematicae 125, no. 1 (1985): 71–80. http://dx.doi.org/10.4064/fm-125-1-71-80.

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37

Poongothai, E., and A. Celine. "ON FUZZY SUPRA REGULAR BAIRE SPACES." Advances in Mathematics: Scientific Journal 9, no. 8 (August 19, 2020): 6221–27. http://dx.doi.org/10.37418/amsj.9.8.89.

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38

Poongothai, E., and R. Ranjitha. "On Fuzzy Supra β-Baire Spaces." International Journal of Advanced Science and Engineering 5, no. 1 (August 24, 2018): 846. http://dx.doi.org/10.29294/ijase.5.1.2018.846-850.

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39

Poongothai, E., and R. Kawshalya. "On Fuzzy Soft Semi - Baire Spaces." International Journal of Advanced Science and Engineering 5, no. 2 (November 27, 2018): 906. http://dx.doi.org/10.29294/ijase.5.2.2018.906-910.

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40

., E. Poongothai, and G. Priya . "On fuzzy Supra Semi–Baire Spaces." Volume 5 No.3; 2019 5, no. 3 (March 30, 2019): 1052–55. http://dx.doi.org/10.29294/ijase.5.3.2019.1052-1055.

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41

Noll, Dominikus. "Baire Category and B r -Spaces." Proceedings of the American Mathematical Society 101, no. 4 (December 1987): 671. http://dx.doi.org/10.2307/2046669.

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42

Li, Rui, and László Zsilinszky. "More on products of Baire spaces." Topology and its Applications 230 (October 2017): 35–44. http://dx.doi.org/10.1016/j.topol.2017.08.003.

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43

Poongothai, E., and S. Divyapriya. "ON FUZZY SOFT WEAK BAIRE SPACES." Advances in Mathematics: Scientific Journal 9, no. 8 (August 19, 2020): 5945–52. http://dx.doi.org/10.37418/amsj.9.8.62.

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44

Ferrer, Jesús. "A property of connected Baire spaces." Topology and its Applications 77, no. 2 (June 1997): 177–82. http://dx.doi.org/10.1016/s0166-8641(96)00140-x.

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45

Koumoullis, George. "Baire Category in Spaces of Measures." Advances in Mathematics 124, no. 1 (December 1996): 1–24. http://dx.doi.org/10.1006/aima.1996.0075.

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46

Reyna, J. Arias. "Correction to “Normed barely Baire spaces”." Israel Journal of Mathematics 50, no. 3 (September 1985): 264. http://dx.doi.org/10.1007/bf02761405.

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47

Al-Bsoul, Adnan. "Baire spaces, k-spaces, and some properly hereditary properties." International Journal of Mathematics and Mathematical Sciences 2005, no. 22 (2005): 3697–701. http://dx.doi.org/10.1155/ijmms.2005.3697.

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48

FEARNLEY, DAVID L., and LAWRENCE FEARNLEY. "ON DENSE EMBEDDINGS INTO MOORE SPACES WITH THE BAIRE PROPERTY." Bulletin of the Australian Mathematical Society 83, no. 1 (October 29, 2010): 1–10. http://dx.doi.org/10.1017/s0004972710000419.

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AbstractWe demonstrate a construction that will densely embed a Moore space into a Moore space with the Baire property when this is possible. We also show how this technique generates a new ‘if and only if’ condition for determining when Moore spaces can be densely embedded in Moore spaces with the Baire property, and briefly discuss how this condition can can be used to generate new proofs that certain Moore spaces cannot be densely embedded in Moore spaces with the Baire property.

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49

Korczak-Kubiak, Ewa, Anna Loranty, and Ryszard J. Pawlak. "Baire generalized topological spaces, generalized metric spaces and infinite games." Acta Mathematica Hungarica 140, no. 3 (February 9, 2013): 203–31. http://dx.doi.org/10.1007/s10474-013-0304-1.

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50

Pytkeev, E. G. "On spaces of Baire I functions over K-analytic spaces." Mathematical Notes 52, no. 3 (September 1992): 953–59. http://dx.doi.org/10.1007/bf01209616.

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