THEORY OF GENERALIZED SEPARATION AXIOMS IN GENERALIZED TOPOLOGICAL SPACES
نویسندگان
چکیده
In this paper, a new class of generalized separation axioms (briefly, g-Tg-separation axioms) whose elements are called g-Tg,K, g-Tg,F, g-Tg,H, g-Tg,R, g-Tg,N-axioms is defined in terms sets g-Tg-sets) topological spaces Tg-spaces) and the properties characterizations Tg-space endowed with each such discussed. The study shows that g-Tg,F-axiom implies g-Tg,K-axiom, g-Tg,H-axiom g-Tg,F-axiom, g-Tg,R-axiom g-Tg,H-axiom, g-Tg,N-axiom g-Tg,R-axiom. Considering Tg,K, Tg,F, Tg,H, Tg,R, Tg,N-axioms as their analogues but corresponding belonging to open, closed, semi-open, semi-closed, preopen, preclosed, semi-preopen, semi-preclosed sets, also statement Tg,?-axiom g-Tg,?-axiom holds for ? ? {K, F, H, R, N}. Diagrams expose various implications amongst classes presented here literature, nice application supports overall theory.
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ژورنال
عنوان ژورنال: Journal of universal mathematics
سال: 2022
ISSN: ['2618-5660']
DOI: https://doi.org/10.33773/jum.974278