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

• New Definitions followed by suitable illustrations • Proofs of theorems easily accessible to the readers • Sufficient numbers of examples to facilitate clear understanding of the concepts

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.

Senior Undergraduate and Postgraduate Students