Algebraic Topology from a Homotopical Viewpoint

1. Auflage. Softcover version of original hardcover Auflage 2002
ISBN: 978-1-4419-3005-7
Verlag: Springer

Buch, Englisch, 479 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 768 g

Reihe: Universitext

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Aguilar, Marcelo

Prieto, Carlos

Gitler, Samuel

Weitere Mitwirkende

Sontz, S.B.

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Algebraische Topologie

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.

Über Autor(innen)

Marcelo Aguilar and Carlos Prieto are Professors at the Instituto de Matemticas, Universidad Nacional Autonoma de Mexico, and Samuel Gitler is a member of El Colegio Nacional and professor at the Centro de Investigacion y Estudios Avanzados del IPN.