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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

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Open Access Research Article

Regularity in ideal grill topological space

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pp. 707–713Vol. 26Issue 4June 2023DOI: 10.47974/JIM-1498XML
Received:
01 Feb 2022
Accepted:
01 Apr 2022
Published Online:
15 Jul 2023
Article type:
Research Article
Language:
EN
Article no.:
JIM-1498
Pages:
707–713

Abstract

Among the basic concepts that have a vital role in producing comprehensive topologies is a regular space. In this respect, a new definition is introduced in the current study of separation properties. The term JG-regular is given to it. Then its important properties and connection with regular, JG-compact and H-closed are presented.

Keywords

Subject Classifications

05C1012J17

References

[1] Abdulsauda, D. A and L. A. A, Compatibility of center ideals with center Topology, IOP Conference Series: Materials Science and Engineering 928(4) (2020).
[2] AL-Ethary, M. A and  L. A. A, Compactness with Gem set, International Journal of Mathematical Analysis, 8(21-24), pp. 1105-1117 (2014).
[3] Choquet, G., Sur les notion de filter et de grill, Compte Rendus. Sci.Paris, 171-173 (1947). 
[4] Gupta, M. K and Gaur, M, New forms of Compactness via grill, IJMTT, Vol. 48 (2017).
[5] Hamlett, T. R and Jankovic, D, On weaker froms of paracompactness, countable compactness, and Lindeloness”, Ann. New York Acad.Sci. 728, 41-49 (1994).
[6] Jankovic, D. S and Hamlett, T. R, New topologies form old via ideals, Amer. Math Monthly, 97, 295-310 (1990).
[7] Kuratwaski, K, Topology,Vol. I, New York: Acdemic Press (1966).
[8] Luma, S. A, Hadi, M. H and L. A. A, New frontier set in ideal topological spaces, Journal of Interdisciplinary Mathematics (2022).
[9] Newcomb, R, L, Topologies which are compact modulo an ideal, PH. D. Dissertations. Univ .of cal.at Santa Barbara (1967).
[10] Porter, J. R and Thomas, J. D, On H-closed and minimal Hausdorff space, Trans. Amer. Math. So. 138, 159-170 (1969).
[11] Reyadh, D. A, Hadi, M. H and L. A. A, On fuzzy intense separation axiom in fuzzy ideal, Journal of Interdisciplinary Mathematics (2022).
[12] Roy, B and Mukherjee, M. N, On typical topology induced by a grill, Soochow. J of Math, 33 (4), 771-786 (2007).
[13] Roy, B and Mukherjee, M. N, On a type of compactness via grills, Math, vesnik, 59, 13-120 (2007).
[14] Throm, W. J, Proximity Structures and Grills, Math. Ann. 206, 35-62 (1937).
[15] Vaidyanathswamy, R, The localization theory in a set topology, Indian Acad. 20, 51-61 (1945). 
[16] Yeiezi, K. A, and L. A. A, On proximity focal congested sets in i–topological proximity spaces, Journal of Interdisciplinary Mathematics (2022).

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