A First Course in Algebraic Topology

"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