Overview

Abstract homotopy theory is based on the observation that analogues of much of topological homotopy theory and simple homotopy theory exist in many other categories, such as spaces over a fixed base, groupoids, chain complexes and 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, clearly indicating the logical interdependence of properties (in particular the existence of certain Kan fillers in associated cubical sets) and results (Puppe sequences, Vogt's lemma, Dold's Theorem on fibre homotopy equivalences, and homotopy coherence theory).

Full Product Details

Author:   K Heiner Kamps (Fern Univ, Germany) ,  Timothy Porter (Univ Of Wales Bangor, Uk)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 15.50cm , Height: 3.00cm , Length: 22.00cm
Weight:   0.780kg
ISBN:  

9789810216023

ISBN 10:   9810216025
Pages:   472
Publication Date:   11 April 1997
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

Abstract Homotopy Theory; Case Studies; Exact Sequences; Elementary Homotopy Coherence; Abstract Simple Homotopy Theory; Additive Simple Homotopy Theories.

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