Algebraic topology an introduction - Ayala Gómez, Rafael; Domínguez Murillo, Eladio; Quintero Toscano, Antonio (Oxford, U.K. Alpha Science International Ltd., 2012)
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.
Includes bibliographical references (pages 354-360) and index.
Keywords: Algebraic topology