locally compact Hausdorff space
θ R continuous functions
... In Konstadilaki-Sawopoulou and Jankovic’[1] it is proved that a continuous function from a locally compact Hausdorff Space into a Hausdorff space is R-continuous.. We shall prove that un[r] ...
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A Study on Compactness in Metric Spaces and Topological Spaces
... closed compact subsets of X and is therefore closed and ...the compact set X – U and is therefore closed and ...topological space and X is a ...is compact, and hence there is a finite subcover ...
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On Hausdorff and Compact U-Spaces
... paper Hausdorff, normal, regular and completely regular U-spaces as well as compact and locally compact U-spaces have been defined and ...U- space R ...
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PP 2017 14: On modal logics arising from scattered locally compact Hausdorff spaces
... for compact Hausdorff spaces, and Section 4 generalizes some of these results to locally compact Hausdorff ...Stone space whose logic is not one of ...
18
Extensions of best approximation and coincidence theorems
... Ding and Tan [9, Theorem 4]" X is a weakly compact convex subset of a locally convex Hausdorff topological vector space E, r, g lx, and F KX, w, E, T.. From Theorem 3.1, we obtain the fo[r] ...
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Generalized Quasi Variational Type Inequalities
... a locally convex Hausdorff topological vect ace ov , X be a nonempty com- pact convex subset of E and F a Hausdorff topo- logical vector space over , : F E be a bilinear ...
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RETRACTED: Disintegration of Group Representations on Direct Integrals of Banach Spaces
... a locally compact Hausdorff group as isome- tric lattice automorphisms of Banach lattices? This seems a natural guiding question when studying representations in an ordered ...one space, ...
48
Topological spaces for which every closed and semi closed preorder respectively admits a continuous multi utility representation
... a locally and σ-compact Hausdorff space has a continuous multi- utility representation ...spaces, compact spaces and Euclidean spaces ...
26
Compactifying a convergence space with functions
... The following technique for constructing compactifications is modeled on a method of constructing Hausdorff compactifications of locally compact Hausdorff spaces by using functions from [r] ...
10
On Hausdorff compactifications of non locally compact spaces
... In [2] Magill shows that a locally compact space X has a countable compactification if and only if.. has infinitely many components..[r] ...
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On Locally Hurewicz Spaces
... a compact set, then { x } is ...is locally Hurewicz, because for each x ∈ R and a neighborhood V of x, we have that x ∈ {x } ⊂ V , where {x } is an open set and ...a Hausdorff C-space, we have ...
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Splitting of extensions in the category of locally compact abelian groups
... Proof. Let G be a compactly generated group in £. By [14, Theorem 2.5], G ∼ = R n ⊕ Z m ⊕ F where F is a compact group and n, m are nonnegative integers. Suppose for all divisible groups X in £, P ext(X, G) = 0. ...
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A fundamental study into the theory and application of the partial metric spaces
... We recall, from section 2.2.2, that our first step in giving a To-characterisation of a compact ordered space was to consider the locally compact sober spaces, which generalise the Scott[r] ...
168
On Two Characterizations of COTS With Endpoints
... IJSRR, 7(4) Oct. – Dec., 2018 Page 1958 Theorem. 3.8. Let X be a connected space having a cut point hereditary property P. If X has an R(i) subset H such that there is no proper regular closed, connected subset of ...
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SOME EXTENSIONS OF RHOADES FIXED POINT THEOREMS
... Nadler found a fixed point for the mapping defined on product of metric spaces which are uniformly continuous and also contraction in the first variable. Tarafdar generalized the Banach contraction principle on a ...
8
A view on g -Fuzzy Compactness
... 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] ...
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On Vector Sequence Spaces and Representation of Compact Operators on BK Spaces
... of compact operators between Banach-Koordinat (BK) ...characterize compact operators through a BK space is studied and also characterizes the spaces of compact linear maps from locally ...
9
Pre Compact space in a topological space
... 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. ...
10
Compactifications of convergens spaces
... Convergence space, compactfication, locally bounded space, setially compact space, relatively diagonal compatification, simple ompacti-.. 1980 Mathematical Subject i..[r] ...
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A Study Of Some Local Properties In Fuzzy Nearness Spaces
... nearness space. We also have shown that a fuzzy regular chained T1 FN-space is compact iff it is fuzzy uniformly locally compact and fuzzy uniformly ...
8