Algebraic Topology

Nonfiction, Science & Nature, Mathematics, Topology
Cover of the book Algebraic Topology by Edwin H. Spanier, Springer New York
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Author: Edwin H. Spanier ISBN: 9781468493221
Publisher: Springer New York Publication: December 6, 2012
Imprint: Springer Language: English
Author: Edwin H. Spanier
ISBN: 9781468493221
Publisher: Springer New York
Publication: December 6, 2012
Imprint: Springer
Language: English

This book surveys the fundamental ideas of algebraic topology. The first part covers the fundamental group, its definition and application in the study of covering spaces. The second part turns to homology theory including cohomology, cup products, cohomology operations and topological manifolds. The final part is devoted to Homotropy theory, including basic facts about homotropy groups and applications to obstruction theory.

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This book surveys the fundamental ideas of algebraic topology. The first part covers the fundamental group, its definition and application in the study of covering spaces. The second part turns to homology theory including cohomology, cup products, cohomology operations and topological manifolds. The final part is devoted to Homotropy theory, including basic facts about homotropy groups and applications to obstruction theory.

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