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Weak continuity and strongly closed sets

D. A. Rose

International Journal of Mathematics and Mathematical Sciences, 1984, vol. 7, 1-8

Abstract:

After demonstrating the usual product theorems for weakly continuous functions, strongly closed and extremely closed subsets are contrasted to support the conjecture that a product of faintly continuous functions need not be faintly continuous. Strongly closed sets are used to characterize Hausdorff spaces and Urysohn spaces, and with these characterizations two results obtained by T . Noiri are obtained by function-theoretic means rather than by point-set method.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:146193

DOI: 10.1155/S0161171284000831

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