Ebook: Topology

This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra. It provides full proofs and includes many examples and exercises.;Geometrical introduction to Topology -- Sets -- Topological structures -- Connectedness and compactness -- Topological quotients -- Sequences -- Manifolds, Infinite products and paracompactness -- More topics in general Topology -- Intermezzo -- Homotopy -- The fundamental group -- Covering spaces -- Monodromy -- van Kampen's Theorem -- Selected topics in Algebraic Topology -- Hints and solutions