Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, … (Springer Monographs in Mathematics) 1999th Edition by Hans-Joachim Baues (PDF)

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A new combinatorial foundation of the two concepts, based on a consideration of deep and classical results of homotopy theory, and an axiomatic characterization of the assumptions under which results in this field hold. Includes numerous explicit examples and applications in various fields of topology and algebra.

User’s Reviews

Editorial Reviews: Review “This monograph is a substantial enrichment of the literature on homotopical algebra and it is very valuable as a source of inspiration for further research.” — MATHEMATICAL REVIEWS From the Back Cover This book considers 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 characterizes 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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Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, … (Springer Monographs in Mathematics) 1999th Edition PDF Free Download
Download Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, … (Springer Monographs in Mathematics) 1999th Edition 1999 PDF Free
Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, … (Springer Monographs in Mathematics) 1999th Edition 1999 PDF Free Download
Download Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, … (Springer Monographs in Mathematics) 1999th Edition PDF
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