On locally s -closed spaces

C. K. Basu

International Journal of Mathematics and Mathematical Sciences, 1996, vol. 19, 1-7

Abstract:

In the present paper, the concepts of s -closed sub-spaces, locally s -closed spaces have been introduced and characterized. We have seen that local s -closedness is a semi-regular property; the concept of s - θ -closed mapping has been introduced here and the following important properties are established:-

Let f : X → Y be an s - θ -closed surjection with s -set (Maio and Noiri [8]) point inverses. Then:

(a) If f is completely continuous (Arya and Gupta [1]) and Y is locally compact T 2 -space, then, X is locally s -closed.

(b) If f is ν -continuous (Ganguly and Basu [5]) and X is a locally compact T 2 -space, then, Y is locally s -closed.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:846239

DOI: 10.1155/S0161171296000117

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