New forms of compactness via grills

M. K. Gupta; Monika Gaur

doi:https://doi.org/10.14445/22315373/IJMTT-V48P540

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 48 | Number 4 | Year 2017 | Article Id. IJMTT-V48P540 | DOI : https://doi.org/10.14445/22315373/IJMTT-V48P540

New forms of compactness via grills

M. K. Gupta, Monika Gaur

Abstract

In the present paper, we introduce and study new types of compactness with respect to a grill, namely ρG – compactness and σG – compactness. Several of its properties are investigated and effects of various kinds of functions on them are studied.

Keywords

Grill, G – compact, Gg– closed, ρG – compact, σG – compact

References

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[7] Roy, B., and Mukherjee, M.N., On a type of compactness via grills, Matematicki Vesnik, 59(2007), 113-120.

Citation :

M. K. Gupta, Monika Gaur, "New forms of compactness via grills," International Journal of Mathematics Trends and Technology (IJMTT), vol. 48, no. 4, pp. 270-275, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V48P540