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on μ∗-r0 and μ∗-r1 spaces with separation axioms
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نویسنده
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chettri pankaj ,bhandari bishal
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منبع
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sahand communications in mathematical analysis - 2024 - دوره : 21 - شماره : 3 - صفحه:417 -429
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چکیده
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In this paper, we define and investigate μ ∗-r0 and μ∗-r1 spaces in a generalized topological space together with a topology. independence of these spaces from the existing allied concepts is shown by examples, which motivates to explore them further.it is interesting to note that (μx, μy )-continuous image of μ ∗-r0 space is neither μ ∗-r0 nor μ-r0. further, conditions under which the (μx, μy )-continuous image of μ ∗-r0 space becomes μ ∗-r0 and μ-r0 are established. also, some new versions of separation axioms are defined and they are used as a tool to investigate μ ∗-r0 and μ ∗-r1 spaces. further, the conditions under which these spaces coincide are obtained.
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کلیدواژه
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μ ∗-open(closed) map ,μ ∗-kernel ,μ ∗-t0 ,μ ∗-t1 ,μ ∗-t2 spaces.
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آدرس
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sikkim manipal university majitar, sikkim manipal institute of technology, department of mathematics, india, sikkim manipal university majitar, sikkim manipal institute of technology, department of mathematics, india
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پست الکترونیکی
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bishal_20211028@smit.smu.edu.in
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Authors
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