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Algebraic Topology of Finite Topological Spaces and Applications
Language: en
Pages: 184
Authors: Jonathan A. Barmak
Categories: Mathematics
Type: BOOK - Published: 2011-08-24 - Publisher: Springer Science & Business Media

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This volume deals with the theory of finite topological spaces and its relationship with the homotopy and simple homotopy theory of polyhedra. The interaction b
A Concise Course in Algebraic Topology
Language: en
Pages: 262
Authors: J. P. May
Categories: Mathematics
Type: BOOK - Published: 1999-09 - Publisher: University of Chicago Press

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Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including
Combinatorial Algebraic Topology
Language: en
Pages: 416
Authors: Dimitry Kozlov
Categories: Mathematics
Type: BOOK - Published: 2008-01-08 - Publisher: Springer Science & Business Media

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This volume is the first comprehensive treatment of combinatorial algebraic topology in book form. The first part of the book constitutes a swift walk through t
Algebraic Topology
Language: en
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Authors: Edwin H. Spanier
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Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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This book surveys the fundamental ideas of algebraic topology. The first part covers the fundamental group, its definition and application in the study of cover
Lecture Notes in Algebraic Topology
Language: en
Pages: 385
Authors: James F. Davis
Categories: Mathematics
Type: BOOK - Published: 2023-05-22 - Publisher: American Mathematical Society

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The amount of algebraic topology a graduate student specializing in topology must learn can be intimidating. Moreover, by their second year of graduate studies,