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Algebraic Topology is written by Kevin P. Knudson and published by Walter de Gruyter GmbH & Co KG. It's available with International Standard Book Number or ISBN identification 3111014851 (ISBN 10) and 9783111014852 (ISBN 13).
This book is ideal as an introduction to algebraic topology and applied algebraic topology featuring a streamlined approach including coverage of basic categorical notions, simplicial, cellular, and singular homology, persistent homology, cohomology groups, cup products, Poincare Duality, homotopy theory, and spectral sequences. The focus is on examples and computations, and there are many end of chapter exercises and extensive student projects.