Algebraic topology from a homotopical viewpoint

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. INDICE: * 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 *

• ISBN: 978-1-4419-3005-7
• Editorial: Springer
• Encuadernacion: Rústica
• Fecha Publicación: 14/03/2012
• Nº Volúmenes: 1
• Idioma: Inglés