Algebraic topology of finite topological spaces and applications
Barmak, Jonathan A.
Algebraic topology of finite topological spaces and applications Jonathan A. Barmak. - Heidelberg ; Springer, 2011 - xvii, 170 p. : ill. ; 24 cm. - Lecture notes in mathematics ; 2032 . - Lecture notes in mathematics (Springer-Verlag) ; 2032. .
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.
9783642220029 (pbk. : alk. paper)
2011934806
015890937 Uk
Topological spaces.
Algebraic topology.
Homotopy theory.
Partially ordered sets.
QA611.3 / .B37 2011
514.2 BAR/Alg
Algebraic topology of finite topological spaces and applications Jonathan A. Barmak. - Heidelberg ; Springer, 2011 - xvii, 170 p. : ill. ; 24 cm. - Lecture notes in mathematics ; 2032 . - Lecture notes in mathematics (Springer-Verlag) ; 2032. .
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.
9783642220029 (pbk. : alk. paper)
2011934806
015890937 Uk
Topological spaces.
Algebraic topology.
Homotopy theory.
Partially ordered sets.
QA611.3 / .B37 2011
514.2 BAR/Alg