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Algebraic Topology

Edward H. Spanier




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 | #3892367 in Books |  McGraw-Hill Inc |  1966-11 | Ingredients: Example Ingredients | Format: CLV | Original language:English | PDF # 1 | File type: PDF | 528 pages

 | It is intended to be used both as a text and as a reference. Particular emphasis has been placed on neutrality, and the book might well have been title Functional Topology. The reader is not assume to have prior knowledge of algebraic topology, but he is assumed to know something of general topology and algebra and to be mathematically sophisticated.

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Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the book covers the fundamental group, its definition and its application in the study of covering spaces. The focus then turns to homology theory, including cohomology, cup products, cohomology operations, and topological manifolds. The remaining third of the book is devoted to Homotropy theory, covering basic facts about homotro...

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