A First Course in Algebraic Topology (2nd Revised edition)

A First Course in Algebraic Topology (2nd Revised edition)

By: B.K. Lahiri (author)Hardback

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"A First Course in Algebraic Topology" starts with the basic notions of category, functors and homotopy of continuous mappings including relative homotopy. Fundamental groups of circles and torus have been treated along with the fundamental group of covering spaces. Simplexes and complexes are presented in detail and two homology theories-simplicial homology and singular homology have been considered along with calculations of some homology groups. New to the second edition chapter on: Simplicial Cohomology groups indicating how the duality between homology and cohomology groups acts

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About Author

B. K. Lahiri.: Formerly, Professor of Mathematics, University of Kalyani


Preface to the Second Edition / Preface to the First Edition / Symbols and Notations / Basic Concepts / Category and Functors / Homotopy / Homotopy Type and Retractions / Paths / The Fundamental Group / Fundamental Group of the Circles / Covering Spaces / Fibrations / Geometric Simplexes and Complexes / Simplicial Homology Theory / Singular Homology / Simplicial Cohomology Groups / References / Index.

Product Details

  • publication date: 21/07/2005
  • ISBN13: 9781842652268
  • Format: Hardback
  • Number Of Pages: 145
  • ID: 9781842652268
  • ISBN10: 1842652265
  • edition: 2nd Revised edition

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