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Algebraic Topology of Finite Topological Spaces and Applications (Record no. 29400)

000 -LEADER
fixed length control field 02971nam a22005175i 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140310154226.0
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 110822s2011 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783642220036
978-3-642-22003-6
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA612-612.8
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 514.2
Edition number 23
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg,
-- 2011.
912 ## -
-- ZDB-2-SMA
-- ZDB-2-LNM
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Barmak, Jonathan A.
Relator term author.
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE
Title Algebraic Topology of Finite Topological Spaces and Applications
Medium [electronic resource] /
Statement of responsibility, etc by Jonathan A. Barmak.
300 ## - PHYSICAL DESCRIPTION
Extent XVII, 170p. 35 illus.
Other physical details online resource.
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Lecture Notes in Mathematics,
International Standard Serial Number 0075-8434 ;
Volume number/sequential designation 2032
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1 Preliminaries -- 2 Basic topological properties of finite spaces -- 3 Minimal finite models -- 4 Simple homotopy types and finite spaces -- 5 Strong homotopy types -- 6 Methods of reduction -- 7 h-regular complexes and quotients -- 8 Group actions and a conjecture of Quillen -- 9 Reduced lattices -- 10 Fixed points and the Lefschetz number -- 11 The Andrews-Curtis conjecture.
520 ## - SUMMARY, ETC.
Summary, etc This volume deals with the theory of finite topological spaces and its relationship with the homotopy and simple homotopy theory of polyhedra. The interaction between their intrinsic combinatorial and topological structures makes finite spaces a useful tool for studying problems in Topology, Algebra and Geometry from a new perspective. In particular, the methods developed in this manuscript are used to study Quillen’s conjecture on the poset of p-subgroups of a finite group and the Andrews-Curtis conjecture on the 3-deformability of contractible two-dimensional complexes. This self-contained work constitutes the first detailed exposition on the algebraic topology of finite spaces. It is intended for topologists and combinatorialists, but it is also recommended for advanced undergraduate students and graduate students with a modest knowledge of Algebraic Topology.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Algebra.
Topical term or geographic name as entry element Combinatorics.
Topical term or geographic name as entry element Discrete groups.
Topical term or geographic name as entry element Algebraic topology.
Topical term or geographic name as entry element Cell aggregation
General subdivision Mathematics.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Algebraic Topology.
Topical term or geographic name as entry element Combinatorics.
Topical term or geographic name as entry element Convex and Discrete Geometry.
Topical term or geographic name as entry element Order, Lattices, Ordered Algebraic Structures.
Topical term or geographic name as entry element Manifolds and Cell Complexes (incl. Diff.Topology).
Topical term or geographic name as entry element Discrete Mathematics.
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
Display text Printed edition:
International Standard Book Number 9783642220029
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-3-642-22003-6
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type E-Book
Copies
Price effective from Permanent location Date last seen Not for loan Date acquired Source of classification or shelving scheme Koha item type Damaged status Lost status Withdrawn status Current location Full call number
2014-03-27AUM Main Library2014-03-27 2014-03-27 E-Book   AUM Main Library514.2
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