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General Topology III

Paracompactness, Function Spaces, Descriptive Theory

  • A. V. Arhangel’skii

Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 51)

Table of contents

  1. Front Matter
    Pages i-vii
  2. A. V. Arhangel’skii
    Pages 71-156
  3. M. M. Choban
    Pages 157-219
  4. Back Matter
    Pages 221-232

About this book

Introduction

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.

Keywords

Compactness Funktionenraum Gleichmäßige Konvergenz Kompaktheit Mengenoperationen Metrisierbarkeit Probability theory function space functional analysis metrizability operations on sets set set theory uniform convergence

Editors and affiliations

  • A. V. Arhangel’skii
    • 1
    • 2
  1. 1.Department of MathematicsUniversity of MoscowMoscowRussia
  2. 2.Department of MathematicsOhio UniversityAthensUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-07413-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 1995
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08123-1
  • Online ISBN 978-3-662-07413-8
  • Series Print ISSN 0938-0396
  • Buy this book on publisher's site