Encyclopaedia of Mathematical Sciences

General Topology II

Compactness, Homologies of General Spaces

Editors: Arhangel'skii, A.V. (Ed.)

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About this book

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.

Table of contents (9 chapters)

  • Introduction

    Arhangel’skii, A. V.

    Pages 4-4

  • Compactness and Its Different Forms: Separation Axioms

    Arhangel’skii, A. V.

    Pages 5-13

  • Compactness and Products

    Arhangel’skii, A. V.

    Pages 13-19

  • Continuous Mappings of Compact Spaces

    Arhangel’skii, A. V.

    Pages 19-28

  • Metrizability Conditions for Compact, Countably Compact and Pseudocompact Spaces

    Arhangel’skii, A. V.

    Pages 28-34

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-642-77030-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $149.00
price for USA
  • ISBN 978-3-642-77032-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
General Topology II
Book Subtitle
Compactness, Homologies of General Spaces
Editors
  • A.V. Arhangel'skii
Translated by
Lysko, J.M.
Series Title
Encyclopaedia of Mathematical Sciences
Series Volume
50
Copyright
1996
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-77030-2
DOI
10.1007/978-3-642-77030-2
Softcover ISBN
978-3-642-77032-6
Series ISSN
0938-0396
Edition Number
1
Number of Pages
VII, 256
Additional Information
Original Russian edition published by VINITI Moscow, 1989
Topics