The Resource Algebraic Topology of Finite Topological Spaces and Applications, by Jonathan A. Barmak, (electronic resource)

Algebraic Topology of Finite Topological Spaces and Applications, by Jonathan A. Barmak, (electronic resource)

Label
Algebraic Topology of Finite Topological Spaces and Applications
Title
Algebraic Topology of Finite Topological Spaces and Applications
Statement of responsibility
by Jonathan A. Barmak
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
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
Member of
Is Subseries of
http://library.link/vocab/creatorName
Barmak, Jonathan A
Dewey number
514.2
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
ESQlsN2jVW0
Image bit depth
0
Language note
English
LC call number
QA612-612.8
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Lecture Notes in Mathematics,
Series volume
2032
http://library.link/vocab/subjectName
  • Algebraic topology
  • Combinatorics
  • Discrete groups
  • Algebra
  • Cell aggregation
  • Algebraic Topology
  • Combinatorics
  • Convex and Discrete Geometry
  • Order, Lattices, Ordered Algebraic Structures
  • Manifolds and Cell Complexes (incl. Diff.Topology)
  • Discrete Mathematics
Label
Algebraic Topology of Finite Topological Spaces and Applications, by Jonathan A. Barmak, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (XVII, 170p. 35 illus.)
File format
multiple file formats
Form of item
online
Isbn
9783642220036
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-642-22003-6
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3440000000000120
  • (DE-He213)978-3-642-22003-6
  • (SSID)ssj0000595561
  • (PQKBManifestationID)11373139
  • (PQKBTitleCode)TC0000595561
  • (PQKBWorkID)10555307
  • (PQKB)11724779
  • (MiAaPQ)EBC3067142
  • (EXLCZ)993440000000000120
Label
Algebraic Topology of Finite Topological Spaces and Applications, by Jonathan A. Barmak, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (XVII, 170p. 35 illus.)
File format
multiple file formats
Form of item
online
Isbn
9783642220036
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-642-22003-6
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3440000000000120
  • (DE-He213)978-3-642-22003-6
  • (SSID)ssj0000595561
  • (PQKBManifestationID)11373139
  • (PQKBTitleCode)TC0000595561
  • (PQKBWorkID)10555307
  • (PQKB)11724779
  • (MiAaPQ)EBC3067142
  • (EXLCZ)993440000000000120

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