Developability and related properties of the generalized compact-open topology

UNCP Author/Contributor (non-UNCP co-authors, if there are any, appear on document)
Dr. Laszlo Zsilinszky, Professor (Creator)
The University of North Carolina at Pembroke (UNCP )
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Abstract: Developability and related properties (like weak developability,Gd-diagonal, G*d-diagonal, submetrizability) of the generalized compact-open topology tC on partial continuous functions P with closed domains in X and values in Y are studied. First countability of (P, tC ) is also characterized. New results are obtained on weak developability, submetrizability, and first countability for the classical compact-open topology on the space of continuous functions with a general range space Y .

Additional Information

Quaderni di Matematica Vol. 22
Language: English
Date: 2009
Generalized compact-open topology, Fell topology, compact-open topology, 1st countable spaces, (weakly) developable spaces, spaces with a Gd-diagonal

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