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arXiv · 1603.05366

The Bi-Compact-Open Topology on C(X)

Anubha Jindal·R. A. McCoy·S. Kundu
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Abstract

For the set C(X) of real-valued continuous functions on a Tychonoff space X, the compact-open topology on C(X) is a "set-open topology". This paper studies the separation and countability properties of the space C(X) having the topology given by the join of the compact-open topology and an "open-set topology" called the open-point topology, that was introduced in [6].

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Anubha Jindal, R. A. McCoy, S. Kundu. 2016-03-17. The Bi-Compact-Open Topology on C(X). https://arxiv.org/abs/1603.05366

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