Title of article
Compactness in the fine and related topologies
Author/Authors
G. and Holل، نويسنده , , David L. and McCoy، نويسنده , , R.A.، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2001
Pages
8
From page
183
To page
190
Abstract
Let X be a Tychonoff space, Y a metrizable space and C(X,Y) be the space of continuous functions from X to Y. For a paracompact, locally hemicompact k-space X we characterize compact subsets of C(X,Y) topologized with the fine, graph and Krikorian topologies. Our results concerning compactness in the fine topology greatly generalized those of Spring [Topology Appl. 18 (1984) 87].
Keywords
Countable compactness , compactness , Paracompact space , Locally hemi-compact Hausdorff space , Fine topology , Graph topology
Journal title
Topology and its Applications
Serial Year
2001
Journal title
Topology and its Applications
Record number
1579671
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