Topology and Geometry

Inbunden, Engelska, 1993

Av Glen E. Bredon

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This book is intended as a textbook for a first-year graduate course on algebraic topology, with as strong flavoring in smooth manifold theory. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. It covers most of the topics all topologists will want students to see, including surfaces, Lie groups and fibre bundle theory. With a thoroughly modern point of view, it is the first truly new textbook in topology since Spanier, almost 25 years ago. Although the book is comprehensive, there is no attempt made to present the material in excessive generality, except where generality improves the efficiency and clarity of the presentation.

Produktinformation

Utgivningsdatum1993-06-24
Mått155 x 235 x 37 mm
Vikt1 027 g
FormatInbunden
SpråkEngelska
SerieGraduate Texts in Mathematics
Antal sidor557
Upplaga2002
FörlagSpringer-Verlag New York Inc.
ISBN9780387979267

Tillhör följande kategorier

Matematik inom Naturvetenskap och teknik
Topologi inom Naturvetenskap och teknik

G.E. Bredon Topology and Geometry "An interesting and original graduate text in topology and geometry. The topics covered include ... general topology, smooth manifolds, homology and homotopy groups, duality, cohomology and products ... a good lecturer can use this text to create a fine course at the appropriate level ... There are various innovative things, which are accessible but not traditionally covered. A beginning graduate student can use this text to learn a great deal of mathematics."-MATHEMATICAL REVIEWS