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A new topology on function spaces. (English) Zbl 0778.46015
Summary: The purpose of this paper is to introduce and investigate a new topology on function spaces. This new topology is called almost compact open topology. The behaviour of this topology with respect to joint $$\theta$$- continuity and joint strong $$\theta$$-continuity is studied and a criterion for compactness in function spaces with respect to this topology is also established.

MSC:
 4.6e+11 Topological linear spaces of continuous, differentiable or analytic functions