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Books on the topic 'Compactness'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2025

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1

Vrabie, I. I. Compactness methods for nonlinear evolutions. 2nd ed. Harlow, Essex, England: Longman, 1995.

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2

Ursul, Mihail. Topological Rings Satisfying Compactness Conditions. Dordrecht: Springer Netherlands, 2002.

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3

Ursul, Mihail. Topological Rings Satisfying Compactness Conditions. Dordrecht: Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-010-0249-3.

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4

Ursul, M. I. Topological rings satisfying compactness conditions. Dordrecht: Kluwer Academic Publishers, 2002.

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5

Vrabie, I. I. Compactness methods for nonlinear evolutions. Harlow, Essex, England: Longman Scientific & Technical, 1987.

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6

Horn, David L. District compactness: Theory and application. Wooster, Ohio: College of Wooster, 1993.

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7

Pratt, R. C. J. Urban compactness, social labour and planning. Birmingham: Faculty of the Built Environment, University of Central England in Birmingham, 1996.

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8

1969-, Schlag Wilhelm, ed. Concentration compactness for critical wave maps. Zürich, Switzerland: European Mathematical Society, 2012.

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9

Hummel, Christoph. Gromov’s Compactness Theorem for Pseudo-holomorphic Curves. Basel: Birkhäuser Basel, 1997. http://dx.doi.org/10.1007/978-3-0348-8952-0.

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10

Christiane, Godet-Thobie, ed. Young measures and compactness in measure spaces. Berlin: De Gruyter, 2012.

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11

Hummel, Christoph. Gromov's Compactness Theorem for Pseudo-holomorphic Curves. Basel: Birkhäuser Basel, 1997.

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12

Carl, Bernd. Entropy, compactness, and the approximation of operators. Cambridge: Cambridge University Press, 1990.

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13

Fryer, Roland G. Measuring the compactness of political districting plans. Cambridge, MA: National Bureau of Economic Research, 2007.

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14

Fryer, Roland G. Measuring the compactness of political districting plans. Cambridge, Mass: National Bureau of Economic Research, 2007.

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15

Karl-Heinz, Fieseler, ed. Concentration compactness: Functional-analytic grounds and applications. London: Imperial College Press, 2007.

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16

Dafermos, Constantine, J. L. Ericksen, David Kinderlehrer, and Marshall Slemrod, eds. Oscillation Theory, Computation, and Methods of Compensated Compactness. New York, NY: Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8689-6.

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17

M, Dafermos C., ed. Oscillation theory, computation, and methods of compensated compactness. New York: Springer-Verlag, 1986.

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18

Çalışkan, Olgu. Urban compactness: A study of Ankara urban form. Saarbrücken: VDM Verlag Dr. Müller, 2009.

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19

Abbas, Casim. An Introduction to Compactness Results in Symplectic Field Theory. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-31543-5.

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20

Roberts, Lawrence D. Pure indexicals vs. true demonstratives: A difference in compactness. Binghamton: State University of New York, 1994.

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21

Wędrychowicz, Stanisław. Compactness conditions for nonlinear stochastic differential and integral equations. Kraków: Wydawn. Uniwersytetu Jagiellońskiego, 2001.

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22

1973-, Lindner Marko, ed. Limit operators, collective compactness, and the spectral theory of infinite matrices. Providence, R.I: American Mathematical Society, 2010.

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23

Hennion, Hubert, and Loïc Hervé, eds. Limit Theorems for Markov Chains and Stochastic Properties of Dynamical Systems by Quasi-Compactness. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/b87874.

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24

Horsley, Anthony. Local compactness of choice sets, continuity of demand in prices, and the existence of acompetitive equilibrium. London: International Centre for Economics and Related Disciplines, 1988.

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25

Banks, H. Thomas. On compactness of admissible parameter sets: Convergence and stability in inverse problems for distributed parameter systems. Hampton, Va: ICASE, 1986.

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26

Banks, H. Thomas. On compactness of admissible parameter sets: Convergence and stability in inverse problems for distributed parameter systems. [Washington, D.C: National Aeronautics and Space Administration, 1986.

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27

Hrushovski, Ehud, and François Loeser. Definable compactness. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161686.003.0004.

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This chapter describes the notion of definable compactness for subsets of unit vector V. One of the main results is Theorem 4.2.20, which establishes the equivalence between being definably compact and being closed and bounded. The chapter gives a general definition of definable compactness that may be useful when the definable topology has enough definable types. The o-minimal formulation regarding limits of curves is replaced by limits of definable types. The chapter relates definable compactness to being closed and bounded and shows that the expected properties hold. In particular, the image of a definably compact set under a continuous definable map is definably compact.

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28

Compactness And Contradiction. American Mathematical Society, 2013.

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29

Edmunds, D. E., and W. D. Evans. Capacity and Compactness Criteria. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198812050.003.0008.

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In this chapter, necessary and sufficient conditions are derived for the Poincaré inequality to hold, for the embedding of W01,p(Ω) in Lp(Ω‎) to be compact, and for a self-adjoint realization of − aijDiDj + q to have a wholly discrete spectrum when q is real and bounded below. The results are proved using a method of Maz’ya.

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30

Button, Tim, and Sean Walsh. Compactness, infinitesimals, and the reals. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198790396.003.0004.

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One of the most famous philosophical applications of model theory is Robinson’s attempt to salvage infinitesimals. Infinitesimals are quantities whose absolute value is smaller than that of any given positive real number. Robinson used his non-standard analysis to formalize and vindicate the Leibnizian approach to the calculus. Against this, the historian Bos has questioned whether the infinitesimals of Robinson's non-standard analysis have the same structure as those of Leibniz. We offer a response to Bos, by building valuations into Robinson's non-standard analysis. This chapter also introduces some related discussions of independent interest (compactness, instrumentalism, and o-minimality) and contains a proof of The Compactness Theorem and Gödel’s Completeness Theorem.

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31

Ursul, M. Topological Rings Satisfying Compactness Conditions. Springer, 2002.

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32

Topological rings satisfying compactness conditions. Dordrecht: Kluwer Academic Publishers, 2002.

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33

Molica Bisci, Giovanni, and Patrizia Pucci. Nonlinear Problems with Lack of Compactness. De Gruyter, 2021. http://dx.doi.org/10.1515/9783110652017.

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34

Pucci, Patrizia, and Giovanni Molica Bisci. Nonlinear Problems with Lack of Compactness. de Gruyter GmbH, Walter, 2021.

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35

Pucci, Patrizia, and Giovanni Molica Bisci. Nonlinear Problems with Lack of Compactness. de Gruyter GmbH, Walter, 2021.

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36

Pucci, Patrizia, and Giovanni Molica Bisci. Nonlinear Problems with Lack of Compactness. de Gruyter GmbH, Walter, 2021.

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37

Pfitzner, Hermann. Weak compactness in certain Banach spaces. 1992.

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38

Tintarev, Kyril, and Karl-heinz Fieseler. Concentration Compactness: Functional-Analytic Grounds and Applications. World Scientific Publishing, 2007.

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39

Concentration Compactness: Functional-Analytical Grounds and Applications. World Scientific Publishing Co Pte Ltd, 2007.

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40

Gromov's Compactness Theorem for Pseudo-Holomorphic Curves. Island Press, 1997.

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41

Tintarev, Kyril, and Karl-heinz Fieseler. CONCENTRATION COMPACTNESS: FUNCTIONAL-ANALYTIC GROUNDS AND APPLICATIONS. World Scientific Publishing, 2007.

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42

Carl, Bernd, and Irmtraud Stephani. Entropy, Compactness and the Approximation of Operators. University of Cambridge ESOL Examinations, 2012.

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43

Florescu, Liviu C., and Christiane Godet-Thobie. Young Measures and Compactness in Measure Spaces. De Gruyter, Inc., 2012.

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44

Carl, Bernd, and Irmtraud Stephani. Entropy, Compactness and the Approximation of Operators. Cambridge University Press, 2008.

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45

Concentration Compactness: Functional-Analytic Grounds and Applications. World Scientific Publishing Co Pte Ltd, 2007.

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46

Compactness and stability for nonlinear elliptic equations. Zürich, Switzerland: European Mathematical Society, 2014.

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47

Gromov's compactness theorem for pseudo-holomorphic curves. Basel: Birkhäuser Verlag, 1997.

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48

Abbas, Casim. Introduction to Compactness Results in Symplectic Field Theory. Springer London, Limited, 2014.

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49

Lu, Yunguang. Hyperbolic Conservation Laws and the Compensated Compactness Method. Taylor & Francis Group, 2002.

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50

Arhangel'skii, A. V., J. M. Lysko, and E. G. Sklyarenko. General Topology II: Compactness, Homologies of General Spaces. Springer London, Limited, 2011.

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