General Topology III Paracompactness, Function Spaces, Descriptive T
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 theore
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Editor-in-Chief: R. V. Gamkrelidze
Springer-Verlag Berlin Heidelberg GmbH
A.V. Arhangel' skii (Ed.)
General Topology Ill Paracompactness, Function Spaces, Descriptive Theory
Springer
Consulting Editors of the Series: AA Agrachev, AA Gonchar, E.P. Mishchenko, N. M. Ostianu, V. P. Sakharova, A B. Zhishchenko
Title of the Russian edition: Itogi nauki i tekhniki, Sovremennye problemy matematiki, Fundamental'nye napravleniya, Vol. 51, Obshchaya Topologiya - 3, Publisher VINITl, Moscow 1989
Mathematics Subject Classification (1991): 03E50, 04A15, 46Hxx, 54-02, 54A25, 54ClO, 54C25, 54C35, 54C40, 54C45, 54D15, 54D20, 54D30, 54D35, 54D70, 54E18, 54E20, 54E30, 54E35, 54E45, 54G 12, 54H05, 60Bxx
ISBN 978-3-642-08123-1 Catalilging-in-Publication Data applied for Die Deutsche Bibliothek - CIP-Einheitsaufnahme General topology. Einheitssacht.: OMCaja topologija Literaturangaben NE: EST 3. Paracompactness. Function Spaces, Descriptive Theory 1 A. V. Arhangel'skii (ed.). - 1995 (Encyclopedia of mathematical sciences; Vol. 51) ISBN 978-3-642-08123-1 ISBN 978-3-662-07413-8 (eBook) DOI 10.1007/978-3-662-07413-8 NE: Archangel'skij, Aleksandr V.: GT This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag Berlin Heidelberg GmbH. Violations are liable for prosecution under the German Copyright Law. © Springer-Verlag Berlin Heidelberg 1995 Originally published by Springer-Verlag Berlin Heidelberg New York in 1995 Softx:over reprint of the hardcover 1st edition 1995 Typesetting: Camera-ready copy produced from the authors' and translator's input files using a Springer TEX macro package. SPIN: 10015154 44/3143 - 5 4 321 0 - Printed on acid-free paper
List of Editors, Authors and Translator Editor-in-Chief R. V. Gamkrelidze, Russian Academy of Sciences, Steklov Mathematical Institute, ul. Vavilova 42, 117966 Moscow; Institute for Scientific Information (VINITI), ul. Usievicha 20a, 125219 Moscow, Russia e-mail: [email protected] Consulting Editor A. V. Arhangel'skii, Department of Mathematics, University of Moscow, Leninskie Gory, 119899 Moscow, Russia and Department of Mathematics, Ohio University, 3221 Morton Hall, Athens, Ohio 45701-2979, USA e-mail: aarhange @oucsace.cs.ohiou.edu Authors A. V. Arhangel'skii, Department of Mathematics, University of Moscow, Leninskie Gory, 119899 Moscow, Russia and Department of Mathematics, Ohio University, 3221 Morton Hall, Athens, Ohio 45701-2979, USA e-mail: [email protected] M. M. Choban, Tiraspol Pedagogical Institute, Tiraspol, Moldova Translator G. G. Gould, School of Mathematics, University of Wales, Senghennydd Roa
