Quasicontinuous Functions, Densely Continuous Forms and Compactness
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Abstract Let X be a locally compact space. A subfamily ℱ of the space D*(X, ℝ) of densely continuous forms with nonempty compact values from X to ℝ equipped with the topology 𝒯UC of uniform convergence on compact sets is compact if and only if {sup(F) : F ∈ ℱ} is compact in the space Q(X, ℝ) of quasicontinuous functions from X to ℝ equipped with the topology 𝒯UC.
1961 ◽
Vol 47
(7)
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pp. 1055-1057
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1973 ◽
Vol 25
(2)
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pp. 252-260
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1972 ◽
Vol 24
(1)
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pp. 29-37
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2007 ◽
Vol 154
(14)
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pp. 2607-2634
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2013 ◽
Vol 176
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pp. 23-41
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2018 ◽
Vol 52
(3 (247))
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pp. 161-165
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1994 ◽
Vol 27
(1)
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pp. 1-9
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