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Algebraic Topology of Finite Topological Spaces and Applications Cover Image E-book E-book

Algebraic Topology of Finite Topological Spaces and Applications [electronic resource] / by Jonathan A. Barmak.

Barmak, Jonathan A. (author.). SpringerLink (Online service) (Added Author).

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  • ISBN: 9783642220036
  • Physical Description: XVII, 170p. 35 illus. online resource.
  • Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.

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Subject: Mathematics.
Algebra.
Combinatorics.
Discrete groups.
Algebraic topology.
Cell aggregation > Mathematics.
Mathematics.
Algebraic Topology.
Combinatorics.
Convex and Discrete Geometry.
Order, Lattices, Ordered Algebraic Structures.
Manifolds and Cell Complexes (incl. Diff.Topology).
Discrete Mathematics.

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Texto completo

► Awards, Reviews, & Suggested Reads
▼ Additional Content
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
12. Appendix.
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