Paracompactness, function spaces, descriptive theory

著者

書誌事項

Paracompactness, function spaces, descriptive theory

A.V. Arhangel'skii (ed.)

（Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze, v. 51 . General topology / A.V. Arhangel'skii (ed.) ; 3）

Springer, c1995

  • : gw
  • : us

タイトル別名

General topology III

Obshchaya topologiya 3

Obshchai︠a︡ topologii︠a︡ 3

Общая топология 3

General topology three

General topology 3

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注記

Translation of: "Obshchai︠a︡ topologii︠a︡ 3," which is vol. 51 of the serial "Itogi nauki i tekhniki. Serii︠a︡ Sovremennye problemy matematiki. Fundamentalʹnye napravlenii︠a︡"

"Title of the Russian edition: Itogi nauki i tekhniki, Sovremennye problemy matematiki, Fundamental'nye napravleniya, vol. 51, Obshchaya topologiya-3. Publisher VINITI, Moscow 1989"--T.p. verso

Includes bibliographical references and author and subject indexes

収録内容

  • Paracompactness and metrization : the method of covers in the classification of spaces / A.V. Arhangel'skii ; translated from the Russian by G.G. Gould
  • Spaces of mappings and rings of continuous functions / A.V. Arhangel'skii ; translated from the Russian by G.G. Gould
  • Descriptive set theory and topology / M.M. Choban ; translated from the Russian by G.G. Gould

内容説明・目次

内容説明

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.

目次

I. Paracompactness and Metrization. The Method of Covers in the Classification of Spaces.- II. Spaces of Mappings and Rings of Continuous Functions.- III. Descriptive Set Theory and Topology.- Author Index.

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