Applied Categorical Structures

, Volume 12, Issue 4, pp 369–377 | Cite as

A Convenient Subcategory of Tych

  • Gábor Lukács


A map f:XY between Hausdorff topological spaces is k-continuous if its restriction f| K to every compact subspace K of X is continuous. X is called a k R -space if every k-continuous function from X to a Tychonoff space is continuous. In this paper we investigate the category of Tychonoff k R -spaces, and show that it is Cartesian closed (thus convenient in the sense of Wyler).

kR-space Cartesian closed Tychonoff functor convenient category k-space 


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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • Gábor Lukács
    • 1
  1. 1.Department of Mathematics & StatisticsYork UniversityToronto,Ontario, M3J 1P3Canada. e-mail

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