Introduction to Topological Manifolds

• Κύριος συγγραφέας: Lee, John M. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2000.
• Σειρά: Graduate Texts in Mathematics, 202
• Θέματα: Mathematics.; Manifolds (Mathematics).; Complex manifolds.; Manifolds and Cell Complexes (incl. Diff.Topology).

This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of di?erential geometry, algebraic topology, and related ?elds. Its guiding philosophy is to develop...

Πίνακας περιεχομένων:

• Topological Spaces
• New Spaces from Old
• Connectedness and Compactness
• Simplicial Complexes
• Curves and Surfaces
• Homotopy and the Fundamental Group
• Circles and Spheres
• Some Group Theory
• The Seifert-Van Kampen Theorem
• Covering Spaces
• Classification of Coverings
• Homology.