Algebraic Topology from a Homotopical View...

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

Inhaltsverzeichnis

* Introduction * Basic Concepts and Notation * Function Spaces * Connectedness and Algebraic Invariants * Homotopy Groups * Homotopy Extentsion and Lifting Properties * CW-Complexes 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 * Appendix A: Proof of the Dold-Thom Theorem * Appendix B: Proof of the Bott Periodicity Theorem * References * Index * Glossary *

Details

Erscheinungsjahr:	2011
Fachbereich:	Geometrie
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Universitext
Inhalt:	xxix 479 S. 37 s/w Illustr.
ISBN-13:	9781441930057
ISBN-10:	1441930051
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Aguilar, Marcelo Gitler, Samuel Prieto, Carlos
Übersetzung:	Sontz, S. B.
Hersteller:	Springer Springer US, New York, N.Y. Universitext
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 28 mm
Von/Mit:	Marcelo Aguilar (u. a.)
Erscheinungsdatum:	14.12.2011
Gewicht:	0,768 kg