Algebraic Topology from a Homotopical Viewpoint

• Κύριοι συγγραφείς: Aguilar, Marcelo (Συγγραφέας), Gitler, Samuel (Συγγραφέας), Prieto, Carlos (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2002.
• Σειρά: Universitext,
• Θέματα: Mathematics.; Topology.; Algebraic topology.; Algebraic Topology.

The purpose of this book is to introduce algebraic topology using the novel approach of homotopy theory, an approach with clear applications in algebraic geometry as understood by Lawson and Voevodsky. This method allows the authors to cover the material more efficiently than the more common method...

Πίνακας περιεχομένων:

• 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.