Abstract Homotopy And Simple Homotopy Theory (Hardcover)

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).

General

Imprint:	World Scientific Publishing Co Pte Ltd
Country of origin:	Singapore
Release date:	April 1997
First published:	1994
Authors:	K Heiner Kamps • Timothy Porter
Dimensions:	220 x 155 x 30mm (L x W x T)
Format:	Hardcover
Pages:	472
ISBN-13:	978-981-02-1602-3
Categories:	Books > Science & Mathematics > Mathematics > Geometry > General Books > Science & Mathematics > Mathematics > Topology > General
LSN:	981-02-1602-5
Barcode:	9789810216023

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