[PDF] Top 20 Semi compact space in a topological space

... of semi-open sets in ...of semi-L-open sets in 2016(October). In this paper semi-L-compact, semi-R- compact,semi-L-locally compact, semi-R-locally ... See full document

... compactness, g-semi compactness, g-precompactness, g-α-compactness, and g-β- compactness, and gave the characterizations of each of such g-compactness like properties and established the relationships among them. ... See full document

... In order to end the proof we have to show that every compact absolute retract E has the fixed point property. In fact, E can be embeded topologically into the Hilbert cube B. According to the classical Schauder ... See full document

... a) Every IF- -continuous mapping is an IF- -alpha continuous mapping. b) Every IF- -alpha continuous mapping an is IF- -semi continuous mapping. c) Every IF- -alpha continuous mapping is an IF- -pre continuous ... See full document

... Proof: In Example 5.1, the space (X, T) is fuzzy semi-Baire but not a pre-Baire space. Since, the non- zero fuzzy pre-open sets are λ, µ, γ, λ˅µ, λ˅γ, µ˅γ, λ˄µ, λ˄γ, µ˄γ, λ˅µ˄γ, µ˅λ˄γ, γ˄λ˅µ, λ˅µ˅γ, ... See full document

... locally compact abelian groups are studied in [4, ...for topological investigations on them and it is interesting on its own ...locally compact abelian group. We then study some topological ... See full document

... Proof. Let B be an open cover of Y. Then, since for all ∊ X, the family of all fuzzy sets of the form f -l [B], for B in B, is an open cover of X which has a finite sub cover. However, if f is onto, then it is easily ... See full document

... Remark : If a g-fuzzy topological space (X,  ) is not Hausdorff then a fuzzy compact subset need not be closed.. Thus the ordinary topology and ordinary topological spaces become spec[r] ... See full document

... on topological space, obtained from different ...on topological spaces, its properties and applications, so that one can see these materials concerning compactness on topological spaces at one ... See full document

... is compact then ∃  tL ,  t , … ,  tŽ ∈ such that ⋃ y {&  t> = , ∅ => ⋃ y {&  t>L ,  t> = , ∅ ) => ( ⋃ y {&  t>L , ⋂ y {&  t> = , ∅ ) =>( 1 ⋃ ... See full document

... soft topological space and it was also applied in the field of life science, Social science and ...soft topological space based on soft semi weakly generalized closed ... See full document

... Zorlutuna, Akdag, Min and Atmaca[2] introduced the soft compact spaces. They get a characterization theorem that a soft topological space is compact if and only if each family of soft closed ... See full document

... bitopological space. We have [12] introducedfuzzy tri semi-open sets and fuzzy tri pre-open sets, fuzzy tri continuous function, fuzzy tri semi-continuous function and fuzzy tri pre-continuous ... See full document

... nonempty compact convex subsets of real Hausdorff topologi- cal spaces, ...Hausdorff topological vector ...nonempty compact values and satisfy the following ... See full document

... normal topological residuated ...a topological space (X, U ) is regular if for each x ∈ U ∈ U , there exists an open set H such that x ∈ H ⊆ H ⊆ ... See full document

... locally compact groups. This is only possible provided locally compact groups are normal topological ...locally compact groups are completely regular spaces ... See full document

... defined semi open sets in topological spaces in ...using semi open sets ( see [1], [10], [25], [27] ). A subset 𝐴 of a topological space 𝑋 is said to be semi open if there exists ... See full document

... Abstract : In this paper, we have proved in details the existence of a homeomorphism between ℝ 𝒏 compactified and a topological variety in n+1 dimensions, knowing tha[r] ... See full document

... [4] S. A. El-Sheikh, R. A-K. Omar and M. Raafat, γ-operation in M-topological space, Gen. Math. Notes 27 (2015) 40-54. [5] K. P. Girish and Sunil Jacob John, Multiset topologies induced by multiset ... See full document

... X  U  U  U      U    U . This is possible since {Un} has no finite sub cover. Now { } x n is a sequence in X. Let x  X be arbitrary .then x  Uk for some K .By our choice of { } x n , xi  Uk for all i  k.  ... See full document