Combinatorial Algebraic Topology (Record no. 38571)

MARC details
000 -LEADER
fixed length control field 03480n a2200397#a 4500
001 - CONTROL NUMBER
control field 5000183
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20221213140640.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr||||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 100301s2008 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540719625
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-540-71962-5
Source of number or code doi
035 ## - SYSTEM CONTROL NUMBER
System control number 978-3-540-71962-5
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBPD
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT038000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 514.2
090 ## - IMPA CODE FOR CLASSIFICATION SHELVES
IMPA CODE FOR CLASSIFICATION SHELVES Matemáticas Gerais-(inclusive alguns textos elementares sobre assuntos específicos)
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Kozlov, Dmitry
9 (RLIN) 9186
245 10 - TITLE STATEMENT
Title Combinatorial Algebraic Topology
Medium [electronic resource]/
Statement of responsibility, etc. by Dmitry Kozlov.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. Berlin, Heidelberg:
Name of publisher, distributor, etc. Springer Berlin Heidelberg,
Date of publication, distribution, etc. 2008.
300 ## - PHYSICAL DESCRIPTION
Other physical details digital.
490 0# - SERIES STATEMENT
Series statement Algorithms and Computation in Mathematics,
International Standard Serial Number 1431-1550;
Volume/sequential designation 21
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Overture -- Part I Concepts of Algebraic Topology -- 2 Cell complexes -- 3 Homology groups -- 4 Concepts of Category Theory -- 5 Exact sequences -- 6 Homotopy -- 7 Cofibrations -- 8 Principle -bundles and Stiefel-Whitney characteristic classes -- Part II Methods of Combinatorial Algebraic Topology -- 9 Combinatorial complexes melange -- 10 Acyclic categories -- 11 Discrete Morse theory -- 12 Lexicographic shellability -- 13 Evasiveness and closure operators -- 14 Colimits and quotients -- 15 Homotopy colimits -- Part III Complexes of Graph Homomorphisms -- 17 Chromatic numbers and the Kneser conjecture -- 18 Structural theory of morphism complexes -- 19 Characteristic classes and chromatic numbers -- 20 Applications of spectral sequences to Hom-complexes -- References -- Index .
520 ## - SUMMARY, ETC.
Summary, etc. 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 .
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics.
9 (RLIN) 43458
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Combinatorics
9 (RLIN) 9068
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Algebraic topology.
9 (RLIN) 43515
697 ## - LOCAL SUBJECT
Local Subject Matemáticas Gerais-
Description subdivision (inclusive alguns textos elementares sobre assuntos específicos)
Linkage 23752
710 1# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service).
9 (RLIN) 8857
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9783540719618
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Algorithms and computation in mathematics;
Volume/sequential designation 21
9 (RLIN) 12586
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1007/978-3-540-71962-5">http://dx.doi.org/10.1007/978-3-540-71962-5</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Instituto de Matemática Pura e Aplicada
Koha item type E-Book

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