ON THE COMPLETENESS PROPERTIES OF THE C-COMPACT-OPEN TOPOLOGY ON C(X)

Alexander V. Osipov     (Krasovski Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Russian Federation)

Abstract


This is a study of the completeness properties of the space Crc(X) of continuous real-valued functions on a Tychonov space X, where the function space has the C-compact-open topology. Investigate the properties such as completely metrizable, Čech-complete, pseudocomplete and almost Čech-complete.


Keywords


C-compact-open topology; Set-open topology, Čech-complete; Baire space; Function space

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References


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DOI: http://dx.doi.org/10.15826/umj.2015.1.006

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