Items related to ABSTRACT HOMOTOPY AND SIMPLE HOMOTOPY THEORY

ABSTRACT HOMOTOPY AND SIMPLE HOMOTOPY THEORY - Hardcover

Kamps, Fern Universität Hagen Germany K H; Porter, University Of Wales Bangor UK T

 
9789810216023: ABSTRACT HOMOTOPY AND SIMPLE HOMOTOPY THEORY
Hardcover
ISBN 10: 9810216025 ISBN 13: 9789810216023
Publisher: World Scientific Pub Co Inc, 1997

Synopsis

The abstract homotopy theory is based on the observation that analogues of much of the topological homotopy theory and simple homotopy theory exist in many other categories (e.g. spaces over a fixed base, groupoids, chain complexes, module categories). Studying categorical versions of homotopy structure, such as cylinders and path space constructions, enables not only a unified development of many examples of known homotopy theories but also reveals the inner working of the classical spatial theory. This demonstrates the logical interdependence of properties (in particular the existence of certain Kan fillers in associated cubical sets) and results (Puppe sequences, Vogt's Iemma, Dold's theorem on fibre homotopy equivalences, and homotopy coherence theory).

"synopsis" may belong to another edition of this title.

Publisher
World Scientific Pub Co Inc
Publication date
1997
Language
English
ISBN 10 
9810216025
ISBN 13 
9789810216023
Binding
Hardcover
Number of pages
472