Combinatorial Algebraic Topology
Publication year: 2008
ISBN: 978-3-540-71962-5
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Combinatorial algebraic topology is a fascinating and dynamic field at the crossroads of algebraic topology and discrete mathematics. This volume is the first comprehensive treatment of the subject in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology, including Stiefel-Whitney characteristic classes, which are needed for the later parts. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of combinatorial algebraic topology. Our presentation of standard topics is quite different from that of existing texts. In addition, several new themes, such as spectral sequences, are included.
Subject: Mathematics and Statistics, Algebraic topology, Characteristic class, Homotopy, cofibration, combinatorics, discrete mathematics, fibrations, graphs, homology
