Filters
A Note on Ragahvan-Reilly´s Pairwise Paracompactness
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 par...
BA - Obecná matematika
- 2000 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A generalization of $theta$-regularity and bitopological covering properties
In this paper we investigate the concept of $theta$-regularity generalized for spaces with two and three topologies and study its relations to bitopological paracompactness and bitopological unstability in presence of pairwise Hausd...
BA - Obecná matematika
- 2000 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Theta-regularity in spaces with more topologies
In this work we investigate the concept of theta-regularity generalized for spaces with two and three topologies and study its relations to bitopological paracompactness and bitopological unstability in presence of pairwise Hausdorf...
BA - Obecná matematika
- 1999 •
- D
Rok uplatnění
D - Stať ve sborníku
A note on the comparison of topologies
A considerable problem of some bitopological covering properties is the bitopological unstability with respect to the presence of the pairwise Hausdorff separation axiom. For instance, if the space is $RR$-pairwise paracompact
BA - Obecná matematika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A note on paracompactness and full normality without weak separation axioms
In this paper we develop a general method which allows to omit T0 and T1 axioms in some covering theorems concerning paracompactness and full normality....
BA - Obecná matematika
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
The locally fine coreflection and normal covers in the products of partition-complete spaces.
In particular, it is shown that the product of 6-partition- complete spaces preserves paracompactness.
BA - Obecná matematika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Normality and Paracompactness of the Feell Topology.
Annotation not available...
BA - Obecná matematika
- 1999 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Preservation of completeness by some continuous maps
We show that a metrizable space Y is completely metrizable if there is a continuous surjection f which maps the open (clopen) subsets of the (0-dimensional paracompact) Cech-complete space X to resolvable subsets of Y....
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On 3-topological version of $theta$-regularity
In this paper we modify the concept of $theta$-regularity for spaces with two and three topologies. The new, more general property is fully preserved by sums and products. Using some bitopological reductions of this property, Michael's theorem for se...
BA - Obecná matematika
- 2000 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
$theta$-regularity in spaces with more topologies
The term {it space} $(X,tau,sigma,rho)$ is referred as a set $X$ with three, generally non-identical topologies $tau$, $sigma$ and $rho$. We say that $xin X$ is a {it $(sigma, rho)$-$theta$-cluster point} of a filter base $Phi$ in $X$ if forevery $Vi...
BA - Obecná matematika
- 1999 •
- D
Rok uplatnění
D - Stať ve sborníku
- 1 - 10 out of 753