Introduction to Homotopy Theory

• Κύριος συγγραφέας: Arkowitz, Martin (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2011.
• Σειρά: Universitext,
• Θέματα: Mathematics.; Algebraic topology.; Algebraic Topology.

This is a book in pure mathematics dealing with homotopy theory, one of the main branches of algebraic topology. The principal topics are as follows: • Basic homotopy; • H-spaces and co-H-spaces; • Fibrations and cofibrations; • Exact sequences of homotopy sets, actions, and coactions; • Homotopy pu...

Πίνακας περιεχομένων:

• 1 Basic Homotopy
• 2 H-Spaces and Co-H-Spaces
• 3 Cofibrations and Fibrations
• 4 Exact Sequences
• 5 Applications of Exactness
• 6 Homotopy Pushouts and Pullbacks
• 7 Homotopy and Homology Decompositions
• 8 Homotopy Sets
• 9 Obstruction Theory
• A Point-Set Topology
• B The Fundamental Group
• C Homology and Cohomology
• D Homotopy Groups and the n-Sphere
• E Homotopy Pushouts and Pullbacks
• F Categories and Functors
• Hints to Some of the Exercises
• References
• Index.-.