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Topology and geometry / Glen E. Bredon.

Bredon, Glen E.
Material type: materialTypeLabelBook; Format: print Series: Graduate texts in mathematics: 139.Publisher: New York : Springer, c2010Description: xiv, 557 p. ; 24 cm.ISBN: 9781441931030.Subject(s): Topología algebraica | Geometría
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515.14/BRE/rop (Browse shelf)   Shelving location | Bibliomaps® BIBLIOG. RECOM. 3742087347


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Enhanced descriptions from Syndetics:

This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory.

From the reviews: "An interesting and original graduate text in topology and geometry...a good lecturer can use this text to create a fine course....A beginning graduate student can use this text to learn a great deal of mathematics."---MATHEMATICAL REVIEWS

Reviews provided by Syndetics


Intended as a text for first-year algebraic topology courses leaning strongly towards the theory of smooth manifolds, this book discusses general topology; smooth manifolds; homotopy; homology; cohomology groups, products, and duality; and more advanced aspects of homotopy theory. Topics covered (reflecting Bredon's well-developed tastes in such matters) range from the theorems of Sard, Van Kampen, Borsuk-Ulam, K"unneth, De Rham, and Hurewicz, to such topics as Moore-Smith convergence, "baby" bundle theory, the Mayer-Vietoris sequence, Hopf maps, the Gysin sequence, Steenrod operations, Stiefel-Whitney classes, fibrations and cofibrations, and Eilenberg-Mac Lane spaces. A worthy successor to Edwin Henry Spanier's classic Algebraic Topology (1966), this book deserves a place on every aspiring topologist's study table, and in every graduate-level mathematics library. An index of symbols and 85 illustrations (unindexed) round out this work, whose only misprints seem to be a surprisingly oft-repeated misspelling of Lebesgue as Lebesque. Advanced undergraduate through faculty. F. E. J. Linton; Wesleyan University

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