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Abstract Homotopy And Simple Homotopy Theory

Af: Timothy Porter, K Heiner Kamps Engelsk Hardback

Abstract Homotopy And Simple Homotopy Theory

Af: Timothy Porter, K Heiner Kamps Engelsk Hardback
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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).

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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).

Produktdetaljer
Sprog: Engelsk
Sider: 472
ISBN-13: 9789810216023
Indbinding: Hardback
Udgave:
ISBN-10: 9810216025
Kategori: Geometri
Udg. Dato: 11 apr 1997
Længde: 0mm
Bredde: 0mm
Højde: 0mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 11 apr 1997
Forfatter(e) Timothy Porter, K Heiner Kamps


Kategori Geometri


ISBN-13 9789810216023


Sprog Engelsk


Indbinding Hardback


Sider 472


Udgave


Længde 0mm


Bredde 0mm


Højde 0mm


Udg. Dato 11 apr 1997


Oplagsdato 11 apr 1997


Forlag World Scientific Publishing Co Pte Ltd

Kategori sammenhænge