Notes On The Course Algebraic Topology

Overview & Synopsis

This note covers the following topics, Important examples of topological spaces, Constructions, Homotopy and homotopy equivalence, CW complexes and homotopy, Fundamental group, Covering spaces, Higher homotopy groups, Fiber bundles, Suspension Theorem and Whitehead product, Homotopy groups of CW complexes, Homology groups, Homology groups of CW complexes, Homology with coefficients and cohomology groups, Cap product and the Poincare duality, Elementary obstruction theory.