AbstractWe show that for every infinite cardinal α there is a Hausdorff space with density α and weight exp exp exp α. It is well-known that this is the maximum weight a space with this density can have
AbstractFor every cardinal τ we construct a universal ultrametric space LWτ such that any ultrametri...
The ηx-sets of Hausdorff have large compactifications (of cardinality ≽ exp(α); and of cardinality ≽...
summary:We show a new theorem which is a sufficient condition for maximal resolvability of a topolog...
AbstractWe show that for every infinite cardinal α there is a Hausdorff space with density α and wei...
AbstractA cardinal invariant on a topological space X, called its strong density, is introduced as t...
We give the name Hausdorff to those ultrafilters that provide ultrapowers whose natural topology ( ...
summary:We calculate the density of the hyperspace of a metric space, endowed with the Hausdorff or ...
We show, in a certain specific sense, that both the density and the cardinality of a Hausdorff space...
AbstractWe prove (in ZFC) the following theorem. Assume κ is an infinite cardinal, X is a Hausdorff ...
AbstractAssuming the Singular Cardinals Hypothesis, we prove the following property: σ-CWH:For every...
AbstractThe following are consequences of the main results in this paper: 1.(1) The number of counta...
summary:We prove that it is independent of ZFC whether every Hausdorff countable space of weight les...
Abstract. We show the cardinality of a homogeneous Hausdorff space X is not necessarily bounded by 2...
[EN] In this paper we continue to investigate the impact that various separation axioms and covering...
AbstractThis expository paper describes a number of theorems dealing with cardinal numbers associate...
AbstractFor every cardinal τ we construct a universal ultrametric space LWτ such that any ultrametri...
The ηx-sets of Hausdorff have large compactifications (of cardinality ≽ exp(α); and of cardinality ≽...
summary:We show a new theorem which is a sufficient condition for maximal resolvability of a topolog...
AbstractWe show that for every infinite cardinal α there is a Hausdorff space with density α and wei...
AbstractA cardinal invariant on a topological space X, called its strong density, is introduced as t...
We give the name Hausdorff to those ultrafilters that provide ultrapowers whose natural topology ( ...
summary:We calculate the density of the hyperspace of a metric space, endowed with the Hausdorff or ...
We show, in a certain specific sense, that both the density and the cardinality of a Hausdorff space...
AbstractWe prove (in ZFC) the following theorem. Assume κ is an infinite cardinal, X is a Hausdorff ...
AbstractAssuming the Singular Cardinals Hypothesis, we prove the following property: σ-CWH:For every...
AbstractThe following are consequences of the main results in this paper: 1.(1) The number of counta...
summary:We prove that it is independent of ZFC whether every Hausdorff countable space of weight les...
Abstract. We show the cardinality of a homogeneous Hausdorff space X is not necessarily bounded by 2...
[EN] In this paper we continue to investigate the impact that various separation axioms and covering...
AbstractThis expository paper describes a number of theorems dealing with cardinal numbers associate...
AbstractFor every cardinal τ we construct a universal ultrametric space LWτ such that any ultrametri...
The ηx-sets of Hausdorff have large compactifications (of cardinality ≽ exp(α); and of cardinality ≽...
summary:We show a new theorem which is a sufficient condition for maximal resolvability of a topolog...
DOI
Add to ORKG