be a locally compact, second countable, Hausdorff space
2 Uniform continuity on locally compact non-Hausdorff groupoids
... is Hausdorff, then G (2) is closed in G × G, being the set where two continuous maps (to a Hausdorff space) ...is Hausdorff then G (0) is closed in G, being the image of the map x 7→ xx −1 [: ...
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PP 2017 14: On modal logics arising from scattered locally compact Hausdorff spaces
... Stone space, or more generally a compact Hausdorff space, remains a challenging open problem, already in the restricted setting of scattered ...for compact Hausdorff spaces, and ...
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X,T ) is a second countable Hausdorff space, prove that the cardinalities of both X
... a compact Hausdorff space is T 4 ...hence compact subset of X ...closed compact subsets B α has the finite intersection property; specifically, the ...
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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 8X- X has infinitely many components. As an application of the proof of Theorem 2, the [r] ...
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or “Can we ‘add’ anything to it to make it compact?” If the space is locally compact and Hausdorff, the answer to the second question is “yes”
... of compact set, it is unlikely that they have much appreciation for the fact that the definition evolved as the answer to the question: “What is it about closed and bounded subsets of the real line that makes ...
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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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Multidimensional second order generalised stochastic processes on locally compact Abelian groups
... Schwartz-Bruhat space is the space S{G) = { < p e A { G ) \ ^ e A { d ) } ...ruhat space has a large num ber of very desirable properties from the point of view of harm onic ...invariant, ...
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Symmetric strong vector quasiequilibrium problems in Hausdorff locally convex spaces
... If int C ≠ ∅ and x satisfies (1.1), then we call x a weak efficient solution for the vec- tor equilibrium problem. If x satisfies (1.2), then we call x a strong efficient solution for the vector equilibrium problem. It ...
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FUZZIFYING STRONGLY COMPACT SPACES AND FUZZIFYING LOCALLY STRONGLY COMPACT SPACES
... of compact spaces and lo- cally compact spaces defined in terms of pre-open subsets of a topological ...of locally strong compactness in the framework of fuzzifying topology are introduced and the ...
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Compact coverings for Baire locally convex spaces
... the space E \ F is of the first Baire category in ...in locally convex spaces relatively countably compact sets are bounded, we apply Corollary 1 to deduce that F is ...metrizable locally ...
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Invariant measures for equicontinuous semigroups of continuous transformations of a compact Hausdorff space
... For this, we shall consider a completely arbitrary compact Hausdorff space X and any equicontinuous semigroup G of its continuous transformations and we shall study the set InvG of all B[r] ...
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Two countable Hausdorff almost regular spaces every contiunous map of which into every Urysohn space is constant
... PROOF. and Proposition 3.3, respectively are tota 1 ly disconnected. Hence, we can apply [I, Theorem 2] using as initial space the s pace S, for the construction of countable first count[r] ...
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On Minimal soft Hausdorff space
... soft Hausdorff space ,Soft Minimal Hausdorff Space , Minimal soft open mapping 1-Introduction In the years 2001 and 2003, ...soft Hausdorff space have studied by Shabir and Naz ...
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Homeomorphisms of Compact Sets in Certain Hausdorff Spaces
... nonempty compact subsets of these spaces that have the same cardinality are homeomorphic Theorem ...be compact Corollary ...contain compact subsets that are infinite Corollary ...
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Continuous functions on products of compact Hausdorff spaces
... For, recently Babev and Ribarska [1] have proved that, if H and K are compact Hausdorff spaces such that each of C(H) and C(K) can be renormed with an equivalent pointwise lower-semicont[r] ...
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Compactness in Countable Fuzzy Topological Space
... topological space using fuzzy sets and later on in 1976, ...topological space viz. smooth topological space [21], fuzzy supra topological space [1], fuzzy minimal space [2], fuzzy infy ...
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Locally compact Stone duality
... More precisely, Boolean algebras are defined by a finite list of first order sentences in a language with a single binary relation ≤. On the other hand, both domains and frames require some degree of completeness, which ...
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On the Hausdorff and packing measures of typical compact metric spaces
... The reader is referred to [2] for an excellent discussion of the Hausdorff dimen- sion, the packing dimension and the box dimensions. 2.3. Hewitt–Stromberg measures Hewitt–Stromberg measures were introduced by Hewitt & ...
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Second Order Fuzzy S-Hausdorff Spaces
... S-Hausdorff space introduced by Srivastava, ...to second order fuzzy topological spaces in two different ...and second order concepts are ...
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Results in PM space with Menger-Hausdorff metric
... Rhoades, Common fixed point theorems for hybrid pairs of occasionally weakly compatible mappings satisfying generalized contractive condition of integral type, Fixed Point Theory Appl.,[r] ...
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