The text contains material from the author's earlier two books; Algebraic Topology: An Introduction (GTM 56), and Singular Homology Theory (GTM 70). The book starts with an introductory chapter on 2-manifolds and then continues with the fundamental group; which is conceptually easier than homology, with which some books on algebraic topology start. The only prerequisite for this book is a basic knowledge of general topology; and the book is easily accessible to anyone studying on his own. In short, I recommend the book to anyone interested in algebraic topology.

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