A Convenient Subcategory of Tych |
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Authors: | Gábor Lukács |
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Institution: | (1) Department of Mathematics & Statistics, York University, 4700, Keele Street, Toronto,Ontario, M3J 1P3, Canada. e-mail |
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Abstract: | A map f:X Y 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). |
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Keywords: | k
R
-space Cartesian closed Tychonoff functor convenient category k-space |
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