Homology Theory
Language: en
Pages: 258
Authors: James W. Vick
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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This introduction to some basic ideas in algebraic topology is devoted to the foundations and applications of homology theory. After the essentials of singular
Cyclic Homology
Language: en
Pages: 467
Authors: Jean-Louis Loday
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

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This book is a comprehensive study of cyclic homology theory together with its relationship with Hochschild homology, de Rham cohomology, S1 equivariant homolog
Algebraic Topology
Language: en
Pages: 290
Authors: Andrew H. Wallace
Categories: Mathematics
Type: BOOK - Published: 2007-01-01 - Publisher: Courier Corporation

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Surveys several algebraic invariants, including the fundamental group, singular and Cech homology groups, and a variety of cohomology groups.
Grid Homology for Knots and Links
Language: en
Pages: 423
Authors: Peter S. Ozsváth
Categories: Education
Type: BOOK - Published: 2015-12-04 - Publisher: American Mathematical Soc.

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Knot theory is a classical area of low-dimensional topology, directly connected with the theory of three-manifolds and smooth four-manifold topology. In recent
Homology
Language: en
Pages: 436
Authors: Saunders MacLane
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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In presenting this treatment of homological algebra, it is a pleasure to acknowledge the help and encouragement which I have had from all sides. Homological alg