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Topology, Limits, and Continuity

  • Bernard R. Gelbaum
Part of the Problem Books in Mathematics book series (PBM)

Abstract

A topological space is a pair (X, T) (or simply X) consisting of a set X and a subset T of 2 X : T is the topology for X. The elements of T are the open sets of X, ϕ, XT, and T is closed with respect to the formation of arbitrary unions and finite intersections.

Keywords

Topological Space Open Cover Hausdorff Space Coset Space Compact Hausdorff Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Bernard R. Gelbaum
    • 1
  1. 1.Department of MathematicsState University of New York (SUNY)BuffaloUSA

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