AbstractWe show that a T1 space X is resolvable if the set of limit points λ (X) of various simultaneously separated subsets of X is dense in X. Moreover, if λ (X) is open also, then X is ω-resolvable. It follows that a self-dense, Hausdroff space satisfying a generalized k-space (sequential space) condition is resolvable (respectively, ω-resolvable)
summary:It is proved that every uncountable $\omega$-bounded group and every homogeneous space conta...
This paper presents solutions to some recent questions raised by Katetov about the collection of pre...
AbstractA nonempty topological space is resolvable if it contains two complementary dense subsets. T...
AbstractResolvability of spaces whose extent (spread) is less than the dispersion character is inves...
AbstractIn a recent paper O. Pavlov proved the following two interesting resolvability results:(1)If...
AbstractFollowing guidance from the Organizing Committee, the authors give a brief introduction to t...
summary:We prove resolvability and maximal resolvability of topological spaces having countable tigh...
summary:It is well-known that compacta (i.e. compact Hausdorff spaces) are maximally resolvable, tha...
A topological space is called resolvable if it is a union of two disjoint dense subsets, and is n-re...
In this paper we study topological spaces whose F-re ections are resolv- able. In particular, the re...
summary:We show a new theorem which is a sufficient condition for maximal resolvability of a topolog...
Abstract. The notion of the resolvability of a topological space was introduced by E. Hewitt [8]. Re...
AbstractWe introduce a ZFC method that enables us to build spaces (in fact special dense subspaces o...
AbstractFor a cardinal κ>1, a space X=(X,T) is κ-resolvable if X admits κ-many pairwise disjoint T-d...
summary:We compare several conditions sufficient for maximal resolvability of topo\-lo\-gi\-cal spac...
summary:It is proved that every uncountable $\omega$-bounded group and every homogeneous space conta...
This paper presents solutions to some recent questions raised by Katetov about the collection of pre...
AbstractA nonempty topological space is resolvable if it contains two complementary dense subsets. T...
AbstractResolvability of spaces whose extent (spread) is less than the dispersion character is inves...
AbstractIn a recent paper O. Pavlov proved the following two interesting resolvability results:(1)If...
AbstractFollowing guidance from the Organizing Committee, the authors give a brief introduction to t...
summary:We prove resolvability and maximal resolvability of topological spaces having countable tigh...
summary:It is well-known that compacta (i.e. compact Hausdorff spaces) are maximally resolvable, tha...
A topological space is called resolvable if it is a union of two disjoint dense subsets, and is n-re...
In this paper we study topological spaces whose F-re ections are resolv- able. In particular, the re...
summary:We show a new theorem which is a sufficient condition for maximal resolvability of a topolog...
Abstract. The notion of the resolvability of a topological space was introduced by E. Hewitt [8]. Re...
AbstractWe introduce a ZFC method that enables us to build spaces (in fact special dense subspaces o...
AbstractFor a cardinal κ>1, a space X=(X,T) is κ-resolvable if X admits κ-many pairwise disjoint T-d...
summary:We compare several conditions sufficient for maximal resolvability of topo\-lo\-gi\-cal spac...
summary:It is proved that every uncountable $\omega$-bounded group and every homogeneous space conta...
This paper presents solutions to some recent questions raised by Katetov about the collection of pre...
AbstractA nonempty topological space is resolvable if it contains two complementary dense subsets. T...
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