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.
General Topology III
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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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Inside This Book
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First Sentence:
The problem of metrization of topological spaces has had an enormous influence on the development of general topology. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
stratifiable space, metrizable compactum, countable network, compacta lying, collectionwise normality, pseudocompact subspace, cleavable space, collectionwise normal space, countable paracompactness, monotone normality, star refinement, pseudocompact spaces, final compactness, linearly ordered space, continuous closed map, metrizable compacta, countable tightness, countable refinement, countably paracompact, closed discrete subspace, refining family, metrizable subspace, separable metrizable space, finite open refinement, metrizable spaces Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Handbook of Set-theoretic Topology, Itogi Nauki Tekh, Assume the Axiom of Constructibility, Janos Bolyai, Japan Acad New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The problem of metrization of topological spaces has had an enormous influence on the development of general topology. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
stratifiable space, metrizable compactum, countable network, compacta lying, collectionwise normality, pseudocompact subspace, cleavable space, collectionwise normal space, countable paracompactness, monotone normality, star refinement, pseudocompact spaces, final compactness, linearly ordered space, continuous closed map, metrizable compacta, countable tightness, countable refinement, countably paracompact, closed discrete subspace, refining family, metrizable subspace, separable metrizable space, finite open refinement, metrizable spaces Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Handbook of Set-theoretic Topology, Itogi Nauki Tekh, Assume the Axiom of Constructibility, Janos Bolyai, Japan Acad New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 30
books:
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- General Topology by Rysxard Engelking on page 67, page 155, and Back Matter
- Rings of Continuous Functions (Graduate Texts in Mathematics) by L. Gillman on page 151, and page 155
- General Topology (Graduate Texts in Mathematics) by John L. Kelley on page 68, and page 155
- Provability, Computability and Reflection, Volume 90 (Studies in Logic and the Foundations of Mathematics) by Lev D. Beklemishev in Back Matter
- Provability, Computability and Reflection, Volume 100 (Studies in Logic and the Foundations of Mathematics) by Lev D. Beklemishev in Back Matter
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