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Separation

  • Gabriele Castellini
Part of the Mathematics: Theory & Applications book series (MTA)

Abstract

We recall that a topological space Y is called a Hausdorff space if its diagonal Δy is closed in Y x Y. An equivalent formulation of this concept is provided by the following characterization: a topological space Y is a Hausdorff space if for every topological space X and subset M of X, whenever two continuous functions f, g: XY agree on M, they must also agree on the topological closure of M.

Keywords

Abelian Group Topological Space Closure Operator Hausdorff Space Torsion Theory 
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 2003

Authors and Affiliations

  • Gabriele Castellini
    • 1
  1. 1.Department of Mathematics MayaguezUniversity of Puerto RicoPuerto RicoUSA

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