TY - BOOK AU - Barmak,Jonathan A. TI - Algebraic topology of finite topological spaces and applications T2 - Lecture notes in mathematics SN - 9783642220029 (pbk. : alk. paper) AV - QA611.3 .B37 2011 U1 - 514.2 BAR/Alg PY - 2011/// CY - Heidelberg PB - Springer KW - Topological spaces KW - Algebraic topology KW - Homotopy theory KW - Partially ordered sets N1 - 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 ER -