(_η^^)* -closed
On Locally b#-Closed Sets and Weakly b#-Closed Sets
... regular closed set and let G be a b # -open set containing ...regular closed we have A= cl(int(A)) ...regular closed. This proves (ii). Now to prove (iii). Let A be any closed set and let G be ...
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Some Generalizations of Locally Closed Sets
... In this paper we consider a new type of sets in the topological space which is called λ-open sets. A set is said to be λ-open if it contains a nonempty open set. This idea is not a new idea. In literature, semi-open sets ...
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Properties of sg* closed sets in topology
... Definition 3.1: A subset A of X is termed as semi generalized star -closed (in short sg*-closed) set if sCl(A) U whenever A U and U is g*s-open in X. The family of entire sg*-closed members ...
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$(1,2)^*$-rg$\alpha$-Closed sets in bitopological spaces
... generalized closed sets in general topology as a generalization of closed ...generalized closed sets, their generalizations and related concepts in general ...
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On locally s closed spaces
... If B is regular open or regular closed and A as any subset of X which s s-closed relative to X, then.. as s-closed relative to X..[r] ...
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: 54A05,54B05,54C08 ,54D10 KEY WORDS: semipreopen sets, g-closed sets .gr-closed sets ,rg-closed sets ,gb-closed sets.
... (i) Every r-closed set is wgr-closed set. (ii) Every gr-closed set is wgr-closed set. (iii)Every rb-closed set is wgr –closed set. (iv)Every wgr-closed set is ...
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On θ generalized closed sets
... (ii) A closed set need not be a Λ-set. In the Sierpinski space (X = {a,b},τ = {∅,{a}, X}), the set B = {b} is closed but B is not a Λ-set. However, in [16, Prop. 3.8], it was shown that in a topological ...
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A REVIEW: ALGORITHMS FOR MINING FREQUENT CLOSED ITEMSET AND CLOSED SEQUENTIAL PATTERNS
... Sequence pattern mining finds novel and potentially useful patterns amongst a large database. In this review we have studied different mining algorithms for “closed itemsets” basically divided in two broad ...
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𝑊𝜃𝑔 Closed and 𝑊𝛿𝑔 Closed in [𝟎,𝟏] Topological Spaces
... generalized closed sets in topological spaces as a generalization of closed ...generalized closed sets were defined and ...generalized closed sets in fuzzy ...
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A Closed Model of the Universe
... in Figure 2(b). Both distributions are in perfect agree- ment. The obvious agreement between the observed ge- neral cosmic model A and the closed cosmic model as seen from Figures 2(a) and (b) strongly argues in ...
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δ − Ig - Closed Sets
... Proof. (a) ⇒ (b). Let x ∈ X. If { x } is not closed, then B = X −{ x } is not open. Therefore, X is the only open set containing B and hence B is δ − g − closed. So by (a), B is closed and hence { x ...
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On p closed spaces
... (iii) Let X = R, τ = {∅,{0},X}. Then, X is p-closed and s-closed but not α-compact and hence not strongly compact (a space is α-compact if every cover by α-open sets has a finite subcover, where a set is ...
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INBREEDING IN A CLOSED FLOCK
... These data do furnish evidence that a flock of from 200 to 500 pullets may be produced in a closed flock over a period of time without close inbreeding provided the stock i[r] ...
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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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Between closed and Ig-closed sets
... (2) If X = {a, b, c, d} , τ = {∅, X, {c} , {a, b} , {a, b, c}} and I = {∅, {a}} , then the set A = { b, c, d } is I -open [7]. Now, since A \ A 0 = { b, d } ∈ I / then A is not open- I . It is noted that { a, c } ∈ / τ ...
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Minimal closed sets and maximal closed sets
... maximal closed set and minimal closed ...maximal closed sets appear in locally finite spaces such as the digital ...Minimal closed sets and maximal open sets appear in cofinite topology, for ...
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A STUDY OF A CLOSED GRAPH THEOREM AND THEIR APPLICATIONS IN BANACH SPACES FOR CLOSED LINEAR TRANSFORMATIONS.
... the closed graph theorem and bounded linear operators and have proved some theorems concerning such ...are closed (or have closed graphs ) with the definitions and some properties of closed ...
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CLOSED CIRCUIT TELEVISION
... Foreword Foreword Introduction Establishing CCTV objectives Monitoring CCTV images CCTV recording systems Frame rate Archive capacity Back-up power Physical location Cameras Camera place[r] ...
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μα*-Closed Set and μα**-Closed Set in Supra Topological Spaces
... Sayed., and Takashi Noiri., “On Supra b-open sets and supra b-continuity on topological spaces”, European Journal of pure and applied Mathematics., Vol.3,pp.[r] ...
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Vol 8, No 10 (2017)
... every closed set V of (Y, 𝜎 ...every closed set V of (Y, 𝜎 ). (3) gs-continuous [7] if 𝑓 −1 (𝑉) is a gs-closed set of (X, 𝜏 ) for every closed set V of (Y, 𝜎 ...every closed set V of ...
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