Description

Book Synopsis
This is the second of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century's masters of geometric topology. The books provide perspective and insight to mathematicians at all levels who are interested in geometry and topology.

Table of Contents
  • The fundamental theorem of algebra
  • The Brouwer fixed point theorem
  • Tools
  • Lebesgue covering dimension
  • Fat curves and Peano curves
  • The arc, the simple closed curve, and the Cantor set
  • Algebraic topology
  • Characterization of the 2-sphere
  • 2-manifolds
  • Arcs in $\mathbb{S}^2$ are tame
  • R. L. Moore's decomposition theorem
  • The open mapping theorem
  • Triangulation of 2-manifolds
  • Structure and classification of 2-manifolds
  • The torus
  • Orientation and Euler characteristic
  • The Riemann-Hurwitz theorem
  • Bibliography

    Topology as Fluid Geometry TwoDimensional Spaces

      Product form

      £47.70

      Includes FREE delivery

      RRP £53.00 – you save £5.30 (10%)

      Order before 4pm today for delivery by Sat 8 Aug 2026.

      A Paperback by James W. Cannon

      1 in stock

        Trusted by thousands of customers. See 2,385+ Customer Reviews

        View other formats and editions of Topology as Fluid Geometry TwoDimensional Spaces by James W. Cannon

        Publisher: MP-AMM American Mathematical
        Publication Date: Publication Date: 2/28/2018 12:00:00 AM
        ISBN13: 9781470437152, 978-1470437152
        ISBN10: 1470437155

        Description

        Book Synopsis
        This is the second of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century's masters of geometric topology. The books provide perspective and insight to mathematicians at all levels who are interested in geometry and topology.

        Table of Contents
        • The fundamental theorem of algebra
        • The Brouwer fixed point theorem
        • Tools
        • Lebesgue covering dimension
        • Fat curves and Peano curves
        • The arc, the simple closed curve, and the Cantor set
        • Algebraic topology
        • Characterization of the 2-sphere
        • 2-manifolds
        • Arcs in $\mathbb{S}^2$ are tame
        • R. L. Moore's decomposition theorem
        • The open mapping theorem
        • Triangulation of 2-manifolds
        • Structure and classification of 2-manifolds
        • The torus
        • Orientation and Euler characteristic
        • The Riemann-Hurwitz theorem
        • Bibliography

          Recently viewed products

          © 2026 Book Curl

            • American Express
            • Apple Pay
            • Diners Club
            • Discover
            • Google Pay
            • Maestro
            • Mastercard
            • PayPal
            • Shop Pay
            • Union Pay
            • Visa

            Login

            Forgot your password?

            Don't have an account yet?
            Create account