000 -LEADER |
fixed length control field |
03382nam a22004575i 4500 |
001 - CONTROL NUMBER |
control field |
978-3-540-71962-5 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20161121231213.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
fixed length control field |
cr nn 008mamaa |
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 |
-- |
978-3-540-71962-5 |
024 7# - OTHER STANDARD IDENTIFIER |
Standard number or code |
10.1007/978-3-540-71962-5 |
Source of number or code |
doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA612-612.8 |
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 |
Edition number |
23 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Kozlov, Dmitry. |
Relator term |
author. |
245 10 - TITLE STATEMENT |
Title |
Combinatorial Algebraic Topology |
Medium |
[electronic resource] / |
Statement of responsibility, etc. |
by Dmitry Kozlov. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Place of production, publication, distribution, manufacture |
Berlin, Heidelberg : |
Name of producer, publisher, distributor, manufacturer |
Springer Berlin Heidelberg, |
Date of production, publication, distribution, manufacture, or copyright notice |
2008. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XX, 390 p. 115 illus. |
Other physical details |
online resource. |
336 ## - CONTENT TYPE |
Content type term |
text |
Content type code |
txt |
Source |
rdacontent |
337 ## - MEDIA TYPE |
Media type term |
computer |
Media type code |
c |
Source |
rdamedia |
338 ## - CARRIER TYPE |
Carrier type term |
online resource |
Carrier type code |
cr |
Source |
rdacarrier |
347 ## - DIGITAL FILE CHARACTERISTICS |
File type |
text file |
Encoding format |
PDF |
Source |
rda |
490 1# - 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 |
Concepts of Algebraic Topology -- Overture -- Cell Complexes -- Homology Groups -- Concepts of Category Theory -- Exact Sequences -- Homotopy -- Cofibrations -- Principal ?-Bundles and Stiefel—Whitney Characteristic Classes -- Methods of Combinatorial Algebraic Topology -- Combinatorial Complexes Melange -- Acyclic Categories -- Discrete Morse Theory -- Lexicographic Shellability -- Evasiveness and Closure Operators -- Colimits and Quotients -- Homotopy Colimits -- Spectral Sequences -- Complexes of Graph Homomorphisms -- Chromatic Numbers and the Kneser Conjecture -- Structural Theory of Morphism Complexes -- Using Characteristic Classes to Design Tests for Chromatic Numbers of Graphs -- Applications of Spectral Sequences to Hom Complexes. |
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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Algebraic topology. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Combinatorics. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mathematics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Algebraic Topology. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Combinatorics. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
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, |
International Standard Serial Number |
1431-1550 ; |
Volume/sequential designation |
21 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-540-71962-5 |
912 ## - |
-- |
ZDB-2-SMA |