Abstract Homotopy and Simple Homotopy Theory (Hardcover) (ISBN-13: 9789810216023)

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).

Author: K. Heiner Kamps, Timothy Porter
ISBN-10: 9810216025
ISBN-13: 9789810216023
Publisher: World Scientific Publishing Company
Language: English
Published: 04/11/1997
Pages: 472
Format: Hardcover
Weight: 1.72lbs
Size: 8.50h x 6.10w x 1.20d