Fundamentals of Algebraic Topology

• Κύριος συγγραφέας: Weintraub, Steven H. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2014.
• Σειρά: Graduate Texts in Mathematics, 270
• Θέματα: Mathematics.; Category theory (Mathematics).; Homological algebra.; Algebraic topology.; Manifolds (Mathematics).; Complex manifolds.; Algebraic Topology.; Manifolds and Cell Complexes (incl. Diff.Topology).; Category Theory, Homological Algebra.

This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod. The approach of the book is pragmatic: while most proofs are given, those that are particularly long or technical are omitted, and resul...

Πίνακας περιεχομένων:

• Preface
• 1. The Basics
• 2. The Fundamental Group
• 3. Generalized Homology Theory
• 4. Ordinary Homology Theory
• 5. Singular Homology Theory
• 6. Manifolds
• 7. Homotopy Theory
• 8. Homotopy Theory
• A. Elementary Homological Algebra
• B. Bilinear Forms.- C. Categories and Functors
• Bibliography
• Index.