Combinatorial Foundation of Homolog - E-book

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Combinatorial Foundation Of Homology And Homotopy - ENG

Applications To Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, Algebraic Theories, Simplicial Objects, And Resolutions

Hans-Joachim Baues

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Sinopsis

ISBN:	9783662113387
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Topología
Año de publicación:	2013-03-09

In this book we consider deep and classical results of homotopy theory like the homological Whitehead theorem, the Hurewicz theorem, the finiteness obstruction theorem of Wall, the theorems on Whitehead torsion and simple homotopy equivalences, and we characterize axiomatically the assumptions under which such results hold. This leads to a new combinatorial foundation of homology and homotopy. Numerous explicit examples and applications in various fields of topology and algebra are given.

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