Algebraic topology: an introduction/
Rafael Ayala,Eladio Dominguez,Antonio Quintero
- UK : Alpha Science Intl Ltd, c2012.
- xv,369p. : 25cm.
Contains bibliography. Includes 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 homolgy 10.Singular (co)homology 11.The fixed-point theorems of Brouwer and Lefschetz-Hopf 12.The Jordan-Brouwer separation theorem 13.A glimpse at the theory of degree 14.Homology and homotopy 15.The homotopy classification of lens spaces