An Introduction to Algebraic Topology (Graduate Texts in Mathematics)

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9780387966786: An Introduction to Algebraic Topology (Graduate Texts in Mathematics)

A clear exposition, with exercises, of the basic ideas of algebraic topology. Suitable for a two-semester course at the beginning graduate level, it assumes a knowledge of point set topology and basic algebra. Although categories and functors are introduced early in the text, excessive generality is avoided, and the author explains the geometric or analytic origins of abstract concepts as they are introduced.

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This book is a clear exposition, with exercises, of basic ideas of algebraic topology: homology, homotopy groups, and cohomology rings. It is suitable for a two-semester course at the beginning graduate level, requiring as a prerequisite a knowledge of point set topology and basic algebra.

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