Topology Proceedings 30 No. 1 (2006), pp. 279-299

The Pseudocompact-Open Topology on C(X)

S. Kundu and Pratibha Garg

This paper studies the pseudocompact-open topology on the set of all real-valued continuous functions on a Tychonoff space and compares this topology with the compact-open topology and the topology of uniform convergence. In the second half, the induced map, as well as the metrizability of this topology, is studied.

Keywords: function space, induced map, metacompact, para-Lindelöf, p-isocompact, pseudocompact, separability, submetrizability

Mathematics Subject Classification: 54C10 54C35 54D20 54D65 54E18 54E35 54E99

Document formats: PDF file 232.9 Kb

Topology Proceedings, Volume 30, No. 1 (2006)
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