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An edition of Strong Shape and Homology (2000)

Strong Shape and Homology

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Cover of: Strong Shape and Homology by Sibe Mardešić, Sibe Mardešić
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Last edited by ImportBot
February 26, 2022 | History
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An edition of Strong Shape and Homology (2000)

Strong Shape and Homology

by

Shape theory is an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces. Besides applications in topology, it has interesting applications in various other areas of mathematics, especially in dynamical systems and C*-algebras. Strong shape is a refinement of ordinary shape with distinct advantages over the latter. Strong homology generalizes Steenrod homology and is an invariant of strong shape. The book gives a detailed account based on approximation of spaces by polyhedra (ANRs) using the technique of inverse systems. It is intended for researchers and graduate students. Special care is devoted to motivation and bibliographic notes.

Publish Date
Publisher
Springer Berlin Heidelberg
Language
English
Pages
489

Subjects

Mathematics Algebraic topology K-theory Topology Homology theory
Edition Availability
Cover of: Strong Shape and Homology
Strong Shape and Homology
2000, Springer Berlin Heidelberg
electronic resource / in English

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Book Details

Table of Contents

I Coherent Homotopy: Coherent mappings
Coherent homotopy
Coherent homotopy of sequences
Coherent homotopy and localization
Coherent homotopy as a Kleisli category
II Strong Shape: Resolutions
Strong expansions
Strong shape
Strong shape of metric compacta
Selected results on strong shape
III Derived Limits: The derived functors of lim
lim n and the extension functors Ext n
The vanishing theorems
The cofinality theorem
Higher limits on the category pro-Mod
IV Homology Groups: Homology pro-groups
Strong homology groups of height r
Strong homology as a functor of CH (pro-Top)
Strong homology of spaces
Spectral sequences
Abelian groups
Strong homology of compact spaces
Generalized strong homology.

Edition Notes

Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.

Published in
Berlin, Heidelberg
Series
Springer Monographs in Mathematics, Springer Monographs in Mathematics

Classifications

Dewey Decimal Class
514.2
Library of Congress
QA612-612.8

The Physical Object

Format
[electronic resource] /
Pagination
1 online resource (xii, 489 p.)
Number of pages
489

Edition Identifiers

Open Library
OL27089749M
ISBN 10
3642085466, 3662130645
ISBN 13
9783642085468, 9783662130643
OCLC/WorldCat
851380873

Work Identifiers

Work ID
OL19904513W

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