Results 21 to 30 of about 433 (82)
A result for O2-convergence to be topological in posets
Open Mathematics, 2016 In this paper, the α waybelow relation, which is determined by O2-convergence, is characterized by the order on a poset, and a sufficient and necessary condition for O2-convergence to be topological is obtained.
Li Qingguo, Zou Zhiwei
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Compacity in narrow limit tower spaces
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 6, Page 359-369, 2001., 2001 We introduce a limit tower structure on the space of all bounded Radon measures on a completely regular space and we extend the Prohorov′s theorem of narrow compactness. In the particular case of Polish spaces, we give a sequential version of this extension.
Liviu C. Florescu
wiley +1 more source
On the different kinds of separability of the space of Borel functions
Open Mathematics, 2018 In paper we prove that:
Osipov Alexander V.
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On 3‐topological version of θ‐regularity
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 6, Page 393-398, 2000., 2000 We modify the concept of θ‐regularity for spaces with 2 and 3 topologies. The new, more general property is fully preserved by sums and products. Using some bitopological reductions of this property, Michael′s theorem for several variants of bitopological paracompactness is proved.
Martin M. Kovár
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A note on Raghavan‐Reilly′s pairwise paracompactness
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 2, Page 139-143, 2000., 2000 The bitopological unstability of RR‐pairwise paracompactness in presence of pairwise Hausdorff separation axiom is caused by a bitopological property which is much weaker and more local than RR‐pairwise paracompactness. We slightly generalize some Michael′s constructions and characterize RR‐pairwise paracompactness in terms of bitopological θ ...
Martin M. Kovár
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Completion of a Cauchy space without the T2‐restriction on the space
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 3, Page 163-172, 2000., 2000 A completion of a Cauchy space is obtained without the T2 restriction on the space. This completion enjoys the universal property as well. The class of all Cauchy spaces with a special class of morphisms called s‐maps form a subcategory CHY′ of CHY. A completion functor is defined for this subcategory. The completion subcategory of CHY′ turns out to be
Nandita Rath
wiley +1 more source
Quasi-completion of filter spaces
, 2015 The category FIL of filter spaces being isomorphic to the category of grill-determined nearness spaces has become significant in the later part of the twentieth century.
Nandita Rath
semanticscholar +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 3, Page 659-665, 1999., 1999 First, we introduce sequential convergence structures and characterize Fréchet spaces and continuous functions in Fréchet spaces using these structures. Second, we give sufficient conditions for the expansion of a topological space by the sequential closure operator to be a Fréchet space and also a sufficient condition for a simple expansion of a ...
Woo Chorl Hong
wiley +1 more source
Extremal k-pseudocompact abelian groups [PDF]
, 2009 For a cardinal k, generalizing a recent result of Comfort and van Mill, we prove that every k-pseudocompact abelian group of weight >k has some proper dense k-pseudocompact subgroup and admits some strictly finer k-pseudocompact group topology.Comment ...
Bruno, Anna Giordano
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Some results on compact convergence semigroups defined by filters
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 1, Page 153-157, 1998., 1996 In this paper the concept of convergence defined by filters is used and applied in the study of semigroups. Special emphasis is placed on compact convergence semigroups and their properties.
Phoebe Ho, Paul Plummer, Shing So
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