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Weak continuity and strongly closed sets

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  • D. A. Rose

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.

Suggested Citation

  • D. A. Rose, 1984. "Weak continuity and strongly closed sets," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 7, pages 1-8, January.
    • Handle: RePEc:hin:jijmms:146193
    DOI: 10.1155/S0161171284000831
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    Cited by:

    1. Son, Mi Jung & Park, Jin Han & Lim, Ki Moon, 2007. "Weakly clopen functions," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1746-1755.

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