Open and Closed Sets
On Analytical Approach to Semi-Open/Semi-Closed Sets
... of open and closed sets has been extensively discussed on both metric and topological ...these sets have been proved under the underlying .../semi-closed sets on these ...these ...
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New Properties of Optimal δθ Open and δθ Closed Sets in Topological Spaces
... (X,) is regular. F. Nakaoka and N. Oda in [1] and [2] introduced the notion of maximal open sets and minimal closed sets. Thereafter, J. Cao, M. Ganster, I. Reilly and M. Steiner in [4] ...
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Some Functions Concerning Neutrosophic Feebly Open & Closed Sets
... feebly open sets and neutrosophic feebly closed sets are introduced and several properties of them are ...feebly closed maps and neutrosophic feebly open maps in neutrosophic ...
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Soft B - Generalized Closed Sets and Soft - Generalized Open Sets in Soft Topological Spaces
... Any Research work should result in addition to the existing knowledge of a particular concept. Such an effort not only widens the scope of the concept but also encourages others to explore new and newer ideas. Here the ...
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πgγ* closed Sets in Intuitionistic Fuzzy Topological Spaces
... fuzzy sets was introduced by ...fuzzy sets. In this paper we have introduced intuitionistic fuzzy 𝜋𝑔𝛾*closed sets and intuitionistic fuzzy 𝜋𝑔𝛾*open ...
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On Locally b#-Closed Sets and Weakly b#-Closed Sets
... Now to prove (iii).Let f: (X, ) (Y, ) be completely continuous. Then by Definition 2.3(ii), the inverse image of every open set in Y is regular open in X. Let V be open in Y. Then f -1 (V) is regular ...
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A New Class αcg Set Weaker Form of Closed Sets in Topological Spaces
... αcg-closed sets which is the weaker form of closed sets in topological ...and closed and open maps to the ...these sets are ...
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SLIGHTLY v-OPEN MAPPINGS
... analysis. Closed mappings are one such mappings which are studied for different types of closed sets by various mathematicians for the past many ...of closed maps called slightly ...
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Vol 8, No 5 (2017)
... generalized closed sets in topological space called gp- closed ...b-closed sets (briefly gb-closed) in topological ...-open sets and b # -closed sets ...
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On αsg closed sets in Topological spaces
... Proof: Let A be a swg-closed set in X. Such that A ⊆ U , U is α-open.Since A is swg-closed, cl (int (A)) ⊆ A.For every subset A of X, int (scl (A)) ⊆ cl (int (A)) ⊆ A ⊆ U and so we have int (scl (A)) ⊆ U ...
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On β-Open Sets and Ideals in Topological Spaces
... β-open sets. Apart from introducing β-open sets, Abd El-Monsef et ...β-open sets has been a subject of a couple of ...β-open sets; and using the operation, the ...
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Igm - Closed Sets
... (X, τ ∗ ). A subset A of a topological space (X, τ ) is said to be a g − closed set [6] if cl(A) ⊂ U whenever A ⊂ U and U is open. A subset A of a topological space (X, τ ) is said to be a g − open ...
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On totally $ \pi g^{\mu}r$-continuous function in supra topological spaces
... b-open sets and supra b-continuity in supra topological ...πΩs-closed sets in supra topological spaces was introduced by Arockiarani et ...
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Properties of Pre-\gama-Open Sets and Mappings
... -open sets which are weaker than open ...-open sets and pre- -open maps in topological spaces are introduced by Ibrahim [3, 4] and also fuzzy generalized -closed ...
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Simultaneous Generalizations of Regularity and Normality
... θ-open sets forms a topology on X ...regularly closed set and a point not in it are contained in disjoint open ...disjoint closed sets, one of which is regularly closed, ...
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Vol 6, No 10 (2015)
... The intersection of all semi-closed (resp. α -closed, b-closed, regular-closed) sets of X containing A is called the semi- closure (resp. α -closure, b-closure, regular closure) of A ...
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Rough Spaces on Covering Based Rough Sets
... define closed sets in X, we define the rough complement of any rough open set with respect to the rough set ...rough open set in X, then Y c = (X\Y , X \Y ) is a closed set in the ...
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Properties of g*-closed sets in topological spaces
... Proof: Let f:X→Y be G*-continuous. Let A X. Then Cl(f(A)) is closed in Y. Since f is G*-continuous, f -1 (Cl(A)) is G*-closed in X. Suppose y ϵ f(x), x ϵ G*Cl(A) . Let U be an open set containing y ...
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Behavior of open sets in bi-Alexandroff topological space
... The Alexandroff topological space was a consequence of the important role of finite spaces in digital topology and therefore the undeniable fact that these spaces have all proper- ties of finite spaces [7], [10]. D. ...
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Vol 3, No 11 (2012)
... of sets called 𝑆𝑆 𝑔𝑔 ∗ -open sets, using the semi-generalized closure ...- open sets and some nearly open ...-open sets are inbetween the class of semi-open ...
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