Abstract Homotopy And Simple Homotopy Theory

by K Heiner Kamps, Timothy Porter

Overview

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).

Product Details

ISBN-13:	9789810216023
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	04/11/1997
Pages:	472
Product dimensions:	6.10(w) x 8.60(h) x 1.20(d)