This book, "Lectures on Algebraic Topology" by Albrecht Dold, is a comprehensive treatise on singular homology and cohomology, with a focus on products and manifolds. It does not cover homotopy theory or general (generalized) homology, though many of its formulations and arguments are applicable to these areas. The book includes a brief treatment of Čech cohomology for locally compact subsets of manifolds, with a more detailed systematic treatment in an appendix. The content is structured into eight chapters and an appendix, each divided into several sections. The book serves as a textbook for a one-year course in algebraic topology and can also be used for a shorter, half-year course. Prerequisites include elementary general topology, abelian group theory, and category theory. The exercises are designed to reinforce the concepts and point to further developments. The author acknowledges the contributions of colleagues and students, particularly W. Bos and D.B.A. Epstein, for their valuable feedback. The book was originally published by Springer-Verlag in 1972.This book, "Lectures on Algebraic Topology" by Albrecht Dold, is a comprehensive treatise on singular homology and cohomology, with a focus on products and manifolds. It does not cover homotopy theory or general (generalized) homology, though many of its formulations and arguments are applicable to these areas. The book includes a brief treatment of Čech cohomology for locally compact subsets of manifolds, with a more detailed systematic treatment in an appendix. The content is structured into eight chapters and an appendix, each divided into several sections. The book serves as a textbook for a one-year course in algebraic topology and can also be used for a shorter, half-year course. Prerequisites include elementary general topology, abelian group theory, and category theory. The exercises are designed to reinforce the concepts and point to further developments. The author acknowledges the contributions of colleagues and students, particularly W. Bos and D.B.A. Epstein, for their valuable feedback. The book was originally published by Springer-Verlag in 1972.