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General Topology II

Compactness, Homologies of General Spaces

  • A. V. Arhangel’skii

Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 50)

Table of contents

  1. Front Matter
    Pages i-3
  2. A. V. Arhangel’skii
    Pages 4-4
  3. A. V. Arhangel’skii
    Pages 13-19
  4. A. V. Arhangel’skii
    Pages 19-28
  5. A. V. Arhangel’skii
    Pages 34-59
  6. A. V. Arhangel’skii
    Pages 59-76
  7. A. V. Arhangel’skii
    Pages 76-93
  8. Back Matter
    Pages 108-258

About this book

Introduction

This volume of the Encyclopaedia consists of two independent parts. The first contains a survey of results related to the concept of compactness in general topology. It highlights the role that compactness plays in many areas of general topology. The second part is devoted to homology and cohomology theories of general spaces. Special emphasis is placed on the method of sheaf theory as a unified approach to constructions of such theories. Both authors have succeeded in presenting a wealth of material that is of interest to students and researchers in the area of topology. Each part illustrates deep connections between important mathematical concepts. Both parts reflect a certain new way of looking at well known facts by establishing interesting relationships between specialized results belonging to diverse areas of mathematics.

Keywords

Algebraic structure Boolean algebra Compact space Kohomologie Separation axiom cardinal invariant cohomology cohomology theory fixed-point theorem general topology homology kompakte Räume sheaf theory topological group topology

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/10.1007/978-3-642-77030-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-77032-6
  • Online ISBN 978-3-642-77030-2
  • Series Print ISSN 0938-0396
  • Buy this book on publisher's site