The Resource Combinatorial algebraic topology, Dmitry Kozlov

Combinatorial algebraic topology, Dmitry Kozlov

Label
Combinatorial algebraic topology
Title
Combinatorial algebraic topology
Statement of responsibility
Dmitry Kozlov
Creator
Subject
Language
eng
Summary
"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."--Publisher's website
Cataloging source
DLC
Dewey number
512/.64
Illustrations
illustrations
Index
index present
LC call number
QA169
LC item number
.K69 2008
Literary form
non fiction
Nature of contents
bibliography
Series statement
  • Algorithms and computation in mathematics
  • Algorithms and computation in mathematics,
Series volume
  • v. 21
  • v. 21
Label
Combinatorial algebraic topology, Dmitry Kozlov
Publication
Bibliography note
Includes bibliographical references (p. [377]-384) and index
http://library.link/vocab/branchCode
  • net
Contents
1. Overture -- Pt. I. Concepts of Algebraic Topology -- 2. Cell Complexes -- 3. Homology Groups -- 4. Concepts of Category Theory -- 5. Exact Sequences -- 6. Homotopy -- 7. Cofibrations -- 8. Principal [Gamma]-Bundles and Stiefel-Whitney Characteristic Classes -- Pt. 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 -- 16. Spectral Sequences -- Pt. 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
Control code
000042524005
Dimensions
24 cm
Extent
xix, 389 p.
Isbn
9783540719618
Lccn
2007933072
Other control number
2764377
Other physical details
ill.
http://library.link/vocab/recordID
.b24068330
System control number
  • (OCoLC)185096383
  • springer354071961X

Library Locations

    • Deakin University Library - Geelong Waurn Ponds CampusBorrow it
      75 Pigdons Road, Waurn Ponds, Victoria, 3216, AU
      -38.195656 144.304955
Processing Feedback ...