Completeness properties of the pseudocompact-open topology on <Emphasis Type="Italic">C</Emphasis>(<Emphasis Type="Italic">X</Emphasis>) |
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| Authors: | S Kundu Pratibha Garg |
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| Institution: | (1) Department of Mathematics, Indian Institute of Technology Delhi, New Delhi, 110016, India |
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| Abstract: | This is a study of the completeness properties of the space C
ps
(X) of continuous real-valued functions on a Tychonoff space X, where the function space has the pseudocompact-open topology. The properties range from complete metrizability to the Baire
space property.
Dedicated to Professor Robert A. McCoy |
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| Keywords: | function space completely metrizable Č ech-complete Sieve-complete partition-complete pseudocomplete Baire space |
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