TY - GEN AU - Ayala, Rafael. AU - Dominguez, Eladio. AU - Quintero, Antonio. TI - Algebraic topology : : an introduction SN - 9781842657362 U1 - 514.2 23 PY - 2012/// CY - Oxford PB - Alpha Science KW - Algebraic topology N1 - Includes bibliographical references and index; 1. Preliminaries of topology -- 2. Simplicial complexes -- 3. Extending the definition of a simplicial complex -- 4. Notions of homological algebra -- 5. Simplicial homology -- 6. Pseudomanifolds and n-polyhedra -- 7. Duality in manifolds -- 8. Singular bordism -- 9. Pseudobordism and simplicial homology -- 10. Singular (Co)homology -- 11. The fixed-point theorems of Brouwer and Lefschetz-Hopf -- 12. The Jordan-Brouwer separation therorem -- 13. A glimpse at the theory of degree -- 14. Homology and homotopy: the Hurewicz homomorphism -- 15. The homology classification of lens spaces-- Appendices A-K-- Bibliography-- Index N2 - Starts with the combinatorial definition of simplicial (co) homology and its main properties (including duality for homology manifolds). This book presents a geometric approach to the Hurewicz theorem relating homology and homotopy ER -