The Resource Algebraic topology of finite topological spaces and applications, Jonathan A. Barmak

Algebraic topology of finite topological spaces and applications, Jonathan A. Barmak

Label
Algebraic topology of finite topological spaces and applications
Title
Algebraic topology of finite topological spaces and applications
Statement of responsibility
Jonathan A. Barmak
Creator
Subject
Language
eng
Additional physical form
Also available via the World Wide Web
Cataloging source
StDuBDS
Dewey number
514.2
Illustrations
illustrations
Index
index present
LC call number
QA611.3
LC item number
.B37 2011
Literary form
non fiction
Nature of contents
bibliography
Series statement
Lecture notes in mathematics,
Series volume
2032
Label
Algebraic topology of finite topological spaces and applications, Jonathan A. Barmak
Publication
Bibliography note
Includes bibliographical references and index
http://library.link/vocab/branchCode
  • net
Contents
  • Contents note continued: 10.1.The Fixed Point Property for Finite Spaces -- 10.2.On the Lefschetz Theorem for Simplicial Automorphisms -- 11.The Andrews-Curtis Conjecture -- 11.1.n-Deformations and Statements of the Conjectures -- 11.2.Quasi Constructible Complexes -- 11.3.The Dual Notion of Quasi Constructibility -- 12.Appendix
  • Contents note continued: 4.5.A Simple Homotopy Version of Quillen's Theorem A -- 4.6.Simple, Strong and Weak Homotopy in Two Steps -- 5.Strong Homotopy Types -- 5.1.A Simplicial Notion of Homotopy -- 5.2.Relationship with Finite Spaces and Barycentric Subdivisions -- 5.3.Nerves of Covers and the Nerve of a Complex -- 6.Methods of Reduction -- 6.1.Osaki's Reduction Methods -- 6.2.Þ-Points and One-Point Reduction Methods -- 7.h-Regular Complexes and Quotients -- 7.1.h-Regular CW-Complexes and Their Associated Finite Spaces -- 7.2.Quotients of Finite Spaces: An Exact Sequence for Homology Groups -- 8.Group Actions and a Conjecture of Quillen -- 8.1.Equivariant Homotopy Theory for Finite Spaces -- 8.2.The Poset of Nontrivial p-Subgroups and the Conjecture of Quillen -- 8.3.Equivariant Simple Homotopy Types -- 8.4.Applications to Quillen's Work -- 9.Reduced Lattices -- 9.1.The Homotopy of Reduced Lattices -- 9.2.The L Complex -- 10.Fixed Points and the Lefschetz Number --
  • Machine generated contents note: 1.Preliminaries -- 1.1.Finite Spaces and Posets -- 1.2.Maps, Homotopies and Connectedness -- 1.3.Homotopy Types -- 1.4.Weak Homotopy Types: The Theory of McCord -- 2.Basic Topological Properties of Finite Spaces -- 2.1.Homotopy and Contiguity -- 2.2.Minimal Pairs -- 2.3.T1-Spaces -- 2.4.Loops in the Hasse Diagram and the Fundamental Group -- 2.5.Euler Characteristic -- 2.6.Automorphism Groups of Finite Posets -- 2.7.Joins, Products, Quotients and Wedges -- 2.8.A Finite Analogue of the Mapping Cylinder -- 3.Minimal Finite Models -- 3.1.A Finite Space Approximation -- 3.2.Minimal Finite Models of the Spheres -- 3.3.Minimal Finite Models of Graphs -- 3.4.The fx(X) -- 4.Simple Homotopy Types and Finite Spaces -- 4.1.Whitehead's Simple Homotopy Types -- 4.2.Simple Homotopy Types: The First Main Theorem -- 4.3.Joins, Products, Wedges and Collapsibility -- 4.4.Simple Homotopy Equivalences: The Second Main Theorem --
Control code
000047768362
Dimensions
24 cm
Extent
xvii, 170 p.
Isbn
9783642220029
Lccn
2011934806
Other physical details
ill.
http://library.link/vocab/recordID
.b26209718
System control number
  • (OCoLC)733243110
  • springer3642220029

Library Locations

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