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Cellular-compact spaces and their applications
We introduce the notion of a cellular-compact space and prove that cellular compactness is a nice property that implies cellular Lindelöfness. The...
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Maximal densely countably compact topologies
A topological space X is densely countably compact if it possesses a dense subspace D with the property that every infinite subset of D has an...
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The continuity of the inversion and the structure of maximal subgroups in countably compact topological semigroups
We search for conditions on a countably compact (pseudocompact) topological semigroup under which: (i) each maximal subgroup H ( e ) in S is a (closed)...
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On sequence-covering msss-images of locally separable metric spaces
This paper gives characterizations of locally separable metric spaces under some sequence-covering msss -map**s by means of certain kind of σ -locally...
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Pseudoradial Spaces: Results and Problems
In this paper it is given a survey of principal results (old and new) concerning the class of pseudoradial spaces. In this class cardinal invariants...
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A note on sequence-covering map**s
Let f : X → Y be a map**. f is called a sequence-covering map** if in case S is a convergent sequence containing its limit point in Y then there...
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