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


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.


Abelian Group Topological Space Closure Operator Hausdorff Space Torsion Theory 
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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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