Skip to main content
SpringerLink
Log in
Book cover

Topology and Geometry

  • Textbook
  • © 1993
Download book PDF

Overview

Authors:
  1. Glen E. Bredon

    1. Department of Mathematics, Rutgers University, New Brunswick, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Graduate Texts in Mathematics (GTM, volume 139)

Buy print copy

Softcover Book USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 79.95
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Table of contents (7 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. General Topology

    • Glen E. Bredon
    Pages 1-62
    Download chapter PDF

  3. Differentiable Manifolds

    • Glen E. Bredon
    Pages 63-126
    Download chapter PDF

  4. Fundamental Group

    • Glen E. Bredon
    Pages 127-167
    Download chapter PDF

  5. Homology Theory

    • Glen E. Bredon
    Pages 168-259
    Download chapter PDF

  6. Cohomology

    • Glen E. Bredon
    Pages 260-314
    Download chapter PDF

  7. Products and Duality

    • Glen E. Bredon
    Pages 315-429
    Download chapter PDF

  8. Homotopy Theory

    • Glen E. Bredon
    Pages 430-517
    Download chapter PDF

  9. Back Matter

    Pages 519-561
    Download chapter PDF
Back to top

Keywords

About this book

The golden age of mathematics-that was not the age of Euclid, it is ours. C. J. KEYSER This time of writing is the hundredth anniversary of the publication (1892) of Poincare's first note on topology, which arguably marks the beginning of the subject of algebraic, or "combinatorial," topology. There was earlier scattered work by Euler, Listing (who coined the word "topology"), Mobius and his band, Riemann, Klein, and Betti. Indeed, even as early as 1679, Leibniz indicated the desirability of creating a geometry of the topological type. The establishment of topology (or "analysis situs" as it was often called at the time) as a coherent theory, however, belongs to Poincare. Curiously, the beginning of general topology, also called "point set topology," dates fourteen years later when Frechet published the first abstract treatment of the subject in 1906. Since the beginning of time, or at least the era of Archimedes, smooth manifolds (curves, surfaces, mechanical configurations, the universe) have been a central focus in mathematics. They have always been at the core of interest in topology. After the seminal work of Milnor, Smale, and many others, in the last half of this century, the topological aspects of smooth manifolds, as distinct from the differential geometric aspects, became a subject in its own right.

Reviews

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

Authors and Affiliations

  • Department of Mathematics, Rutgers University, New Brunswick, USA

    Glen E. Bredon

Bibliographic Information

  • Book Title: Topology and Geometry

  • Authors: Glen E. Bredon

  • Series Title: Graduate Texts in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4757-6848-0

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1993

  • Hardcover ISBN: 978-0-387-97926-7Published: 24 June 1993

  • Softcover ISBN: 978-1-4419-3103-0Published: 19 November 2010

  • eBook ISBN: 978-1-4757-6848-0Published: 09 March 2013

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: XIV, 557

  • Topics: Topology, Geometry

Publish with us

Policies and ethics

Back to top

Search

Navigation