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\(\theta_\omega\)-connected space and \(\theta_\omega\)-continuity in the product space. (English) Zbl 1474.54023

Summary: In this paper, the concepts of \(\theta_\omega\)-connected space and \(\theta_\omega\)-continuous function from an arbitrary topological space into the product space will be introduced and characterized.

MSC:

54A10 Several topologies on one set (change of topology, comparison of topologies, lattices of topologies)
54A05 Topological spaces and generalizations (closure spaces, etc.)
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