Algebraic Topology from a Homotopical Viewpoint, Softcover reprint of the original 1st ed. 2002
Universitext Series

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Language: English

68.56 €

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Algebraic topology from a homotopical viewpoint
Publication date:
479 p. · 15.5x23.5 cm · Paperback

105.49 €

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Algebraic topology from a homotopical viewpoint (Universitext series) 08478
Publication date:
479 p. · 15.5x23.5 cm · Hardback

The authors present introductory material in algebraic topology from a novel point of view in using a homotopy-theoretic approach. This carefully written book can be read by any student who knows some topology, providing a useful method to quickly learn this novel homotopy-theoretic point of view of algebraic topology.

Function Spaces.- Connectedness and Algebraic Invariants.- Homotopy groups.- Homotopy Extension and Lifting Properties.- CW-Complexes and Homology.- Homotopy Properties of CW-Complexes.- Cohomology Groups and Related Topics.- Vector Bundles.- K-Theory.- Adams Operations and Applications.- Relations Between Cohomology and Vector Bundles.- Cohomology Theories and Brown Representability.
This is an introductory text for a first course in algebraic topology. The authors present the beginning material in algebraic topology from a novel point of view in using a homotopy-theoretic approach. This point of view clearly has applications in algebraic geometry as understood by Lawson and Voevodsky. This carefully written book can be read by any student who knows some topology. It will be a useful place to quickly learn this novel homotoy-theoretic point of view of algebraic topology.