regular closed sets
On Nano Regular Generalized and Nano Generalized Regular Closed Sets in Nano Topological Spaces
... NANO REGULAR GENERALIZED CLOSED SETS AND NANO GENRALIZED REGULAR CLOSED SETS In this section, we introduce Nano regular generalized closed set and Nano generalized ...
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Generalized star semi regular closed sets in topological spaces
... X}, Regular closed sets are {ϕ, {a, c, d}, {b, c, d}, X} ...sr closed sets are {ϕ, {c, d}, {b, c, d}, {a, c, d}, X} ...sr closed but not regular ...
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Weakly Generalized Star Pre Regular Closed Sets In Topology
... Proof:To prove A∪wg*prd(A) is wg*pr -closed set, it issufficient to prove X − (A ∪wg*pr -d(A)) is wg*pr open. Whenever X − (A ∪wg*pr -d(A))= , then it is clearly wg*pr -open set. Enable X − (A ∪wg*pr -d(A)) and ...
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RgI Closed Sets in Ideal Topological Spaces
... I-open sets in topological ...gI-closed sets in ideal topology. Antony Rex et.al.[1] have introduced g ˆ -closed sets in ideal topological ...introduced regular generalized ...
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Vol 3, No 6 (2012)
... generalized closed sets in general topology as a generalization of closed ...introduced regular open ...semi-open sets, generalized closed sets, weakly closed ...
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On #α-Regular Generalized Closed In Topological Spaces
... open sets and strong regular open sets have been introduced and investigated by Stone [18] and Tong [20] ...open sets, generalized closed sets, regular semi open ...
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Vol 2, No 4 (2011)
... open sets have been introduced and investigated by Stone ...semi-open sets, regular semiopen sets, weakly closed sets and generalized pre-regular closed sets ...
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Vol 7, No 10 (2016)
... generalized closed sets as a generalization of closed sets in topological ...of regular generalized closed set in a topological ...generalized regular closed ...
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Vol 6, No 10 (2015)
... b-closed, regular-closed) sets of X containing A is called the semi- closure ...b-closure, regular closure) of A and is denoted by sCl(A) ...b-open, regular-open) subsets of a ...
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A new form of generalized closed sets via regular local function in ideal topological spaces
... a regular open set [13] if A = int(cl(A)) and a regular closed if A = ...all regular open sets is denoted by ...of regular open sets may not be a regular open set ...
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On Minimal and Maximal Regular Open Sets
... a regular closed if A c is a regular ...all regular-open (resp. regular-closed) sets is denoted by RO(X, τ ) or sim- ply RO(X ) ...open sets of a space (X, τ) is a ...
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$\tau_1\tau_2$-#g Closed Sets in Bitopological Spaces
... open sets in 1963 and also Levine [12] introduced generalized closed sets in ...β-open sets. Veerakumar[15] introduced # g-closed sets in topological ...
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Vol 2, No 4 (2011)
... (iii) (iv). Let A and B be any two disjoint g -closed sets of (X, τ). Then by assumption, there exists an open set U containing A such that cl(U) ∩ B = φ. Since cl(U) is closed, it is g ...
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Vol 7, No 7 (2016)
... generalized closed sets in the topological space by comparing the closure of subset with its open ...of closed set has lead to significant contribution to the theory of separation axiom, covering ...
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Characterizations of g*-open functions in topology
... Proof. Suppose f is G*-open function. Let B be subset of Y and F is closed set of X containing f -1 (B) .Put H = Y-(X-F). Then, H is G*-closed set in Y, B H and f -1 (H) F. Conversely, let U be any open ...
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Vol 9, No 3 (2018)
... Proof: Let { 𝐴 𝑘 : k∈I} be a collection of #pg-open sets in Y, such that f(G) ⊆ ⋃ { 𝐴 𝑘 : k∈I}. Then G ⊆ ⋃ {f ⁻ ¹( 𝐴 𝑘 ) : k∈ I}, where f ⁻ ¹( 𝐴 𝑘 ) is a #pg-open set in X for each k∈ I. Since G is #pg-compact, ...
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Vol 3, No 6 (2012)
... semi-open sets and α-sets ...g-closed sets and studied their most fundamental ...gs-closed sets, αg-closed sets and gα-closed sets ...
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Vol 2, No 10 (2011)
... (v) regular open if A = (cl A) o and regular closed if A = cl{(A o )} (vi) v-open if there exists a regular open set U such that U⊆ A⊆ cl ...a regular closed set U such that α ...
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On Pre Generalized Pre Regular Weakly Open Sets and Pre Generalized Pre Regular Weakly Neighbourhoods in Topological Spaces
... studied Regular open sets then Regular semi open sets, Pre-open sets, gspr closed sets, gpr closed sets, gp closed sets,Rg closed ...
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Igm - Closed Sets
... Proof. (a) ⇒ (b). Let x ∈ X. If { x } is not m − closed , then X − { x } is not m − open. Therefore X is the only m − open set containing X − { x } and X − { x } is I gm − closed set. By hypothesis, X − { x ...
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