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Catalogue Information
Field name	Details
Dewey Class	514.2
Title	Combinatorial Foundation of Homology and Homotopy ([EBook]) : Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, Algebraic Theories, Simplicial Objects, and Resolutions / by Hans-Joachim Baues.
Author	Baues, Hans-Joachim. , 1943-
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 1999.
Physical Details	XV, 365 pages : online resource.
Series	Springer monographs in mathematics 1439-7382
ISBN	9783662113387
Summary Note	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.:
Contents note	I. Examples and Applications -- A: Examples and Applications in Topological Categories -- B: Examples and Applications in Algebraic Homotopy Theories -- C: Applications and Examples in Delicate Homotopy Theories of Simplicial Objects -- D: Resolutions in Model Categories -- II. Combinatorial Homology and Homotopy -- I: Theories of Coactions and Homology -- II: Twisted Chain Complexes and Twisted Homology -- III: Basic Concepts of Homotopy Theory -- IV: Complexes in Cofibration Categories -- V: Homology of Complexes -- V: Homology of Complexes -- VII: Finiteness Obstructions -- VIII: Non-Reduced Complexes and Whitehead Torsion -- List of Notations.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-662-11338-7
Links to Related Works	Subject References: Algebraic Geometry . Algebraic Topology . Combinatorial analysis . Homology theory . Homotopy theory . K-Theory . Authors: Baues, Hans-Joachim. 1943- . Corporate Authors: SpringerLink (Online service) . Series: Springer monographs in mathematics . Classification: 514.2 .

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Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, Algebraic Theories, Simplicial Objects, and Resolutions

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