ENGLISH

Combinatorial Algebraic Topology

By Dmitry Kozlov (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2008
ISBN
354071961X, 978-3-540-71961-8
DOI
10.1007/978-3-540-71962-5
ISSN
1431-1550
Open Library ID
OL18010064M
Language
english
Format
PDF
Filesize
3 MB (3130474 bytes)
Series
Algorithms and Computation in Mathematics 21
Edition
1
Pages
390\399
Library
mexmat
Time added
2009-07-20 03:45:11
Algebraic Topology; Combinatorics

Description

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. Although applications are sprinkled throughout the second part, they are principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms. The main benefit for the reader will be the prospect of fairly quickly getting to the forefront of modern research in this active field.

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