Abstract Homotopy And Simple Homotopy Theory is popular PDF and ePub book, written by K Heiner Kamps in 1997-04-11, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Abstract Homotopy And Simple Homotopy Theory can be Read Online from any device for your convenience.
Abstract Homotopy And Simple Homotopy Theory Book PDF Summary
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).
Detail Book of Abstract Homotopy And Simple Homotopy Theory PDF
- Author : K Heiner Kamps
- Release : 11 April 1997
- Publisher : World Scientific
- ISBN : 9789814502559
- Genre : Mathematics
- Total Page : 476 pages
- Language : English
- PDF File Size : 7,7 Mb
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