000			01603 a2200241 4500
003			ISI Library, Kolkata
005			20240116020005.0
008			150108b xxu||||| |||| 00| 0 eng d
020			_a9781842657362
040			_aISI Library
082			_223 _bAy973 _a514.2
100			_aAyala, Rafael.
245			_aAlgebraic topology : _ban introduction / _cRafael Ayala, Eladio Dominguez and Antonio Quintero.
260			_aOxford : _bAlpha Science, _cc2012.
300			_axv, 369 p. : _billustrations ; _c25 cm.
504			_aIncludes bibliographical references and index.
505			_a1. 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.
520			_aStarts 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.
650			_aAlgebraic topology.
700			_aDominguez, Eladio.
700			_aQuintero, Antonio.
942			_2ddc _cBK _02
999			_c416085 _d416085