Aguilar / Gitler / Prieto Algebraic Topology from a Homotopical Viewpoint

Erscheinungsjahr 2008
ISBN: 978-0-387-22489-3
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 479 Seiten, Web PDF

Reihe: Universitext

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Aguilar, Marcelo

Gitler, Samuel

Prieto, Carlos

Weitere Mitwirkende

Sontz, S.B.

Inhaltsverzeichnis

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.