When countably compact preserving (countably compact) maps are sequentially subcontinuous (inversely sequentially subcontinuous)

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N. S. Noorie

Abstract

We give a necessary and sufficient condition for a map to be countably compact preserving (countably compact) and use it to give a new characterization of sequential subcontinuity (inverse sequential subcontinuity) for a closed (continuous) map. It is also proved as a consequence that under appropriate restrictions on the domain and the co-domain of a map, preservation of countably compact sets is a necessary and sufficient condition for an inversely sequentially subcontinuous map to be sequentially subcontinuous.

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How to Cite
Noorie, N. S. . (2022). When countably compact preserving (countably compact) maps are sequentially subcontinuous (inversely sequentially subcontinuous). Journal of Advanced Studies in Topology, 5(3), 16–18. Retrieved from http://m-sciences.com/index.php/jast/article/view/158
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Research Articles