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General Topology III: Paracompactness, Function Spaces, Descriptive Theory: 51 (Encyclopaedia of Mathematical Sciences) - Softcover
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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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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 discusses, for instance, the continuum hypothesis, Martin's axiom; the theorems of Gel'fand-Kolmogorov, Banach-Stone, Hewitt and Nagata; the principles of comparison of the Luzin and Novikov indices. The book is written for graduate students and researchers working in topology, functional analysis, set theory and probability theory. It will serve as a reference and also as a guide to recent research results.
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- VerlagSpringer
- Erscheinungsdatum2010
- ISBN 10 3642081231
- ISBN 13 9783642081231
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten244
- HerausgeberArhangel' Skii A. V.
- Kontakt zum HerstellerNicht verfügbar
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General Topology III : Paracompactness, Function Spaces, Descriptive Theory
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Taschenbuch. Zustand: 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. Artikel-Nr. 9783642081231
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General Topology III
ISBN 10: 3642081231
ISBN 13: 9783642081231
Neu
Taschenbuch
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Taschenbuch. Zustand: 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. Artikel-Nr. 9783642081231
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General Topology III: Paracompactness, Function Spaces, Descriptive Theory (Encyclopaedia of Mathematical Sciences)
Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes Königreich
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Zustand: New. In English. Artikel-Nr. ria9783642081231_new
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