Shape theory : the inverse system approach /
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 publi...
| Main Authors: | , |
|---|---|
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Language Notes: | English. |
| Published: |
Amsterdam ; New York ; Oxford :
North-Holland Publishing Company,
1982.
|
| Series: | North-Holland mathematical library ;
v. 26. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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. |
|---|---|
| Physical Description: | 1 online resource (xv, 378 pages) : illustrations |
| Format: | Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
| Bibliography: | Includes bibliographical references (pages 341-371) and index. |
| ISBN: | 9780080960142 0080960146 |