AbstractAs applications of productivity of coreflective classes of topological spaces, the following results will be proved: (1) Characters of points of βN∖N are not smaller than any submeasurable cardinal less or equal to 2ω. (2) If κ is a submeasurable cardinal and S is a sequential fan with κ many spines then the tightness of the κ-power of S is equal to κ. In fact, a little more general results are proved
AbstractWe show that, relative to the existence of an inaccessible cardinal, it is consistent that t...
AbstractFor an index set I, let S(I) be the sequential fan with I spines, i.e., the topological sum ...
AbstractIf X is a topological space with density d(X)⩾2, then cf (d((Xκ)(λ)))⩾cf λ, where (Xκ)(λ) is...
AbstractAs applications of productivity of coreflective classes of topological spaces, the following...
AbstractThe κ-productivity of classes C of topological spaces closed under quotients and disjoint su...
summary:Every nontrivial countably productive coreflective subcategory of topological linear spaces ...
AbstractWe prove some basic properties of p-bounded subsets (p∈ω∗) in terms of z-ultrafilters and fa...
summary:Properties similar to countable fan-tightness are introduced and compared to countable tight...
summary:We compare several conditions sufficient for maximal resolvability of topo\-lo\-gi\-cal spac...
summary:We show that the small cardinal number $i = \min \{\vert \Cal A \vert : \Cal A$ is a maximal...
AbstractWe give a new characterization of λ-supercompact cardinal κ in terms of (κ,λ)-Solovay pairs....
summary:We shall show that there is an ultrafilter on singular $\kappa$ with countable cofinality, w...
AbstractGood ultrafilters produce topological ultraproducts which enjoy a strong Baire category prop...
We prove the consistency of: for suitable strongly inaccessible cardinal lambda the dominating numbe...
AbstractIn this paper we make use of the Pol–Šapirovskiĭ's technique to prove several cardinal inequ...
AbstractWe show that, relative to the existence of an inaccessible cardinal, it is consistent that t...
AbstractFor an index set I, let S(I) be the sequential fan with I spines, i.e., the topological sum ...
AbstractIf X is a topological space with density d(X)⩾2, then cf (d((Xκ)(λ)))⩾cf λ, where (Xκ)(λ) is...
AbstractAs applications of productivity of coreflective classes of topological spaces, the following...
AbstractThe κ-productivity of classes C of topological spaces closed under quotients and disjoint su...
summary:Every nontrivial countably productive coreflective subcategory of topological linear spaces ...
AbstractWe prove some basic properties of p-bounded subsets (p∈ω∗) in terms of z-ultrafilters and fa...
summary:Properties similar to countable fan-tightness are introduced and compared to countable tight...
summary:We compare several conditions sufficient for maximal resolvability of topo\-lo\-gi\-cal spac...
summary:We show that the small cardinal number $i = \min \{\vert \Cal A \vert : \Cal A$ is a maximal...
AbstractWe give a new characterization of λ-supercompact cardinal κ in terms of (κ,λ)-Solovay pairs....
summary:We shall show that there is an ultrafilter on singular $\kappa$ with countable cofinality, w...
AbstractGood ultrafilters produce topological ultraproducts which enjoy a strong Baire category prop...
We prove the consistency of: for suitable strongly inaccessible cardinal lambda the dominating numbe...
AbstractIn this paper we make use of the Pol–Šapirovskiĭ's technique to prove several cardinal inequ...
AbstractWe show that, relative to the existence of an inaccessible cardinal, it is consistent that t...
AbstractFor an index set I, let S(I) be the sequential fan with I spines, i.e., the topological sum ...
AbstractIf X is a topological space with density d(X)⩾2, then cf (d((Xκ)(λ)))⩾cf λ, where (Xκ)(λ) is...
DOI
Add to ORKG