Algebraic topology of finite topological spaces and applications
By: Jonathan A. Barmak
Series: Lecture notes in mathematics -- 2032; Lecture notes in mathematics (Springer-Verlag) -- 2032.
Publisher: Springer
Published: 2011
Place of publication: Heidelberg; New York
Language: eng
Number of pages: 170
ISBN-13: 9783642220029; 9783642220036
Subjects: Topological spaces; Algebraic topology; Partially ordered sets; Homotopy theory
Notes: Includes bibliographical references (p. 161-164) and index.
Table of contents: title: 1. Preliminaries; title: 2. Basic topological properties of finite spaces; title: 3. Minimal finite models; title: 4. Simple homotopy types and finite spaces; title: 5. Strong homotopy types; title: 6. Methods of reduction; title: 7. h-Regular complexes and quotients; title: 8. Group actions and a conjecture of quillen; title: 9. Reduced lattices; title: 10. Fixed points and the Lefschetz number; title: 11. The Andrews-Curtis conjecture; title: 12. Appendix.