Algebraic topology of finite topological spaces and applications Jonathan A. Barmak.
Material type:
- 9783642220029 (pbk. : alk. paper)
- 514.2 BAR/Alg
- QA611.3 .B37 2011
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514 PAT/Fou Foundations of topology - 2nd ed. | 514 POP/Wha What is the Genus? | 514 RUN/Tas A taste of topology | 514.2 BAR/Alg Algebraic topology of finite topological spaces and applications | 514.2 FOM-FUC Homotopical Topology - 2nd ed. | 514.2 GIB/Gra Graphs, surfaces and homology / | 514.2 NAB/Top Topology, geometry and gauge fields : |
Includes bibliographical references and index.
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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