ENGLISH

Shape Theory The Inverse System Approach

Book information

Publisher
North Holland
Year
1982
ISBN
9780080960142
Language
english
Format
PDF
Filesize
14 MB (14929098 bytes)
Series
North-Holland Mathematical Library Volume 26
Edition
1st Edition
Pages
393 \383
Time added
2017-08-08 21:00:00

Description

North-Holland Mathematical Library, Volume 26: Shape Theory: The Inverse System Approach presents a systematic introduction to shape theory by providing background materials, motivation, and examples, including shape theory and invariants, pro-groups, shape fibrations, and metric compacta. The publication first ponders on the foundations of shape theory and shape invariants. Discussions focus on the stability and movability of spaces, homotopy and homology pro-groups, shape dimension, inverse limits and shape of compacta, topological shape, and absolute neighborhood retracts. The text then takes a look at a survey of selected topics, including basic topological constructions and shape, shape dimension of metric compacta, complement theorems of shape theory, shape fibrations, and cell-like maps. The text ponders on polyhedra and Borsuk's approach to shape. Topics include shape category of metric compacta and metric pairs, homotopy type of polyhedra, and topology of simplicial complexes. The publication is a valuable source of data for researchers interested in the inverse system approach. Content: North-Holland Mathematical LibraryPage ii Front MatterPage iii Copyright pagePage iv DedicationPage v PrefacePages vii-viiiSibe Mardešić, Jack Segal IntroductionPages xiii-xv Chapter I - Foundations of Shape TheoryPages 1-91 Chapter II - Shape InvariantsPages 93-239 Chapter III - A Survey of Selected TopicsPages 241-286 Appendix 1 - PolyhedraPages 289-329 Appendix 2 - Borsuk's Approach to ShapePages 329-339 BibliographyPages 341-371 List of Special SymbolsPages 372-374 Subject IndexPages 375-378

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