General Topology III: Paracompactness, Function Spaces, Descriptive Theory - Couverture souple

9783642081231: General Topology III: Paracompactness, Function Spaces, Descriptive Theory

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ISBN 10 : 3642081231 ISBN 13 : 9783642081231

Editeur : Springer, 2010

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This book with its three contributions by Arhangel'skii and Choban treats important topics in general topology and their role in functional analysis and axiomatic set theory. It is a useful reference for graduate students and researchers working in topology, functional analysis, set theory and probability theory.

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�diteurSpringer
Date d'�dition2010
ISBN 10 3642081231
ISBN 13 9783642081231
ReliureBroch�
Langueanglais
Nombre de pages244
�diteurArhangel' Skii A. V.
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9783540546986: General Topology III: Paracompactness, Function Spaces, Descriptive Theory

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ISBN 10 : 3540546987 ISBN 13 : 9783540546986
Editeur : Springer-Verlag Berlin and Heide..., 1995
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General Topology III

Arhangel\' skii, A. V.

Edit� par Springer Berlin Heidelberg, 2010

ISBN 10 : 3642081231 ISBN 13 : 9783642081231

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. &nbspThis reference work deals with important topics in general topology and their role in functional analysis and axiomatic set theory, for graduate students and researchers working in topology, functional analysis, set theory and probability theor. N� de r�f. du vendeur 5047170

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General Topology III : Paracompactness, Function Spaces, Descriptive Theory

A. V. Arhangel' Skii

Edit� par Springer Berlin Heidelberg, 2010

ISBN 10 : 3642081231 ISBN 13 : 9783642081231

Neuf Taschenbuch

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - The problem of metrization of topological spaces has had an enormous influence on the development of general topology. Singling out the basic topo logical components of metrizability has determined the main reference points in the construction of the classification of topological spaces. These are (pri marily) paracompactness, collectionwise normality, monotonic normality and perfect normality, the concepts of a stratifiable space, Moore space and u space, point-countable base, and uniform base. The method of covers has taken up a leading role in this classification. Of paramount significance in the applications of this method have been the properties of covers relating to the character of their elements (open covers, closed covers), the mutual dispo sition of these elements (star finite, point finite, locally finite covers, etc. ), as well as the relations of refinement between covers (simple refinement, refine ment with closure, combinatorial refinement, star and strong star refinement). On this basis a hierarchy of properties of paracompactness type has been sin gled out, together with the classes of spaces corresponding to them, the most important of which is the class of paracompacta. The behaviour of families of covers with respect to the topology of a space has important significance. Here, first and foremost, is the notion of a refining family of covers, a development which appears in several modifications and, together with the notion of paracompactness, plays a key role in metrization problems. N� de r�f. du vendeur 9783642081231

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General Topology III

A. V. Arhangel' Skii

Edit� par Springer Berlin Heidelberg Dez 2010, 2010

ISBN 10 : 3642081231 ISBN 13 : 9783642081231

Neuf Taschenbuch

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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This reference work deals with important topics in general topology and their role in functional analysis and axiomatic set theory, for graduate students and researchers working in topology, functional analysis, set theory and probability theory. It provides a guide to recent research findings, with three contributions by Arhangel'skii and Choban. 244 pp. Englisch. N� de r�f. du vendeur 9783642081231

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General Topology III

A. V. Arhangel' Skii

Edit� par Springer Berlin Heidelberg, Springer Berlin Heidelberg Dez 2010, 2010

ISBN 10 : 3642081231 ISBN 13 : 9783642081231

Neuf Taschenbuch

Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Taschenbuch. Etat : Neu. Neuware -The problem of metrization of topological spaces has had an enormous influence on the development of general topology. Singling out the basic topo logical components of metrizability has determined the main reference points in the construction of the classification of topological spaces. These are (pri marily) paracompactness, collectionwise normality, monotonic normality and perfect normality, the concepts of a stratifiable space, Moore space and u space, point-countable base, and uniform base. The method of covers has taken up a leading role in this classification. Of paramount significance in the applications of this method have been the properties of covers relating to the character of their elements (open covers, closed covers), the mutual dispo sition of these elements (star finite, point finite, locally finite covers, etc. ), as well as the relations of refinement between covers (simple refinement, refine ment with closure, combinatorial refinement, star and strong star refinement). On this basis a hierarchy of properties of paracompactness type has been sin gled out, together with the classes of spaces corresponding to them, the most important of which is the class of paracompacta. The behaviour of families of covers with respect to the topology of a space has important significance. Here, first and foremost, is the notion of a refining family of covers, a development which appears in several modifications and, together with the notion of paracompactness, plays a key role in metrization problems.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 244 pp. Englisch. N� de r�f. du vendeur 9783642081231

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