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ESSENTIALS OF TOPOLOGY WITH APPLICATIONS, 1/e

ESSENTIALS OF TOPOLOGY WITH APPLICATIONS, 1/e

Taylor & Francis
  • 9781420089745
  • 420 pages
  • Paperback
  • 6.7" x 9.5" inches
  • Book 795.00
  • 2015


 

Supported by many examples in mathematics, physics, economics, engineering, and other disciplines, Essentials of Topology with Applications provides a clear, insightful, and thorough introduction to the basics of modern topology. It presents the traditional concepts of topological space, open and closed sets, separation axioms, and more, along with applications of the ideas in Morse, manifold, homotopy, and homology theories.

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    Fundamentals
  • Advanced Properties of Topological Spaces
  • Basic Algebraic Topology
  • Manifold Theory
  • Moore–Smith Convergence and Nets
  • Function Spaces
  • Knot Theory
  • Graph Theory
  • Dynamical Systems
  • Appendix 1: Principles of Logic
  • Appendix 2: Principles of Set Theory
  • Appendix 3: The Real Numbers
  • Appendix 4: The Axiom of Choice and Its Implications
  • Appendix 5: Ideas from Algebra
  • Solutions of Selected Exercises