Add to ORKGThe covering property for σ-ideals of compact sets is an abstract version of the classical perfect set theorem for analytic sets. We will study its consequences using as a paradigm the σ-ideal of countable closed subsets of $2^ω$
For any space X, denote by dis (X) the smallest (infinite) cardinal κ such that κ many discrete subs...
AbstractWe recall from [T. Mátrai, Kenilworth, Proc. Amer. Math. Soc. 137 (3) (2009) 1115–1125] a Gδ...
In this article, we introduce the idea of \(I\)-compactness as a covering property through ideals of...
We present here a survey of the definability theory of σ-ideals of closed sets in compact metric spa...
Some results on the descriptive set theory of σ-Ideals of compact sets.Uzcátegui Aylwin, Carlos Enri...
We establish a covering criterion involving a neighbourhood system and ideals of open sets which yie...
We prove the following theorems: 1. There exists an ω- covering with the property s0. 2. Under cov(N...
In the paper we formulate a Covering Property Axiom CPAcube, which holds in the iterated perfect set...
AbstractWe define a very general class of analytic-like spaces, not necessarily completely regular, ...
summary:We introduce a general notion of covering property, of which many classical definitions are ...
AbstractLet Δ ⊂ X1 be the diagonal. In the first part of this paper, we show that a compact space X ...
We investigate the concepts of quasi-H-closed modulo an ideal which generalizes quasi-H-closedness a...
We investigate the concepts of quasi-H-closed modulo an ideal which generalizes quasi-H-closedness a...
Some results on the descriptive set theory of σ-Ideals of compact sets.Uzcátegui Aylwin, Carlos Enri...
AbstractA necessary and sufficient condition is given for the compactness of the topology generated ...
For any space X, denote by dis (X) the smallest (infinite) cardinal κ such that κ many discrete subs...
AbstractWe recall from [T. Mátrai, Kenilworth, Proc. Amer. Math. Soc. 137 (3) (2009) 1115–1125] a Gδ...
In this article, we introduce the idea of \(I\)-compactness as a covering property through ideals of...
We present here a survey of the definability theory of σ-ideals of closed sets in compact metric spa...
Some results on the descriptive set theory of σ-Ideals of compact sets.Uzcátegui Aylwin, Carlos Enri...
We establish a covering criterion involving a neighbourhood system and ideals of open sets which yie...
We prove the following theorems: 1. There exists an ω- covering with the property s0. 2. Under cov(N...
In the paper we formulate a Covering Property Axiom CPAcube, which holds in the iterated perfect set...
AbstractWe define a very general class of analytic-like spaces, not necessarily completely regular, ...
summary:We introduce a general notion of covering property, of which many classical definitions are ...
AbstractLet Δ ⊂ X1 be the diagonal. In the first part of this paper, we show that a compact space X ...
We investigate the concepts of quasi-H-closed modulo an ideal which generalizes quasi-H-closedness a...
We investigate the concepts of quasi-H-closed modulo an ideal which generalizes quasi-H-closedness a...
Some results on the descriptive set theory of σ-Ideals of compact sets.Uzcátegui Aylwin, Carlos Enri...
AbstractA necessary and sufficient condition is given for the compactness of the topology generated ...
For any space X, denote by dis (X) the smallest (infinite) cardinal κ such that κ many discrete subs...
AbstractWe recall from [T. Mátrai, Kenilworth, Proc. Amer. Math. Soc. 137 (3) (2009) 1115–1125] a Gδ...
In this article, we introduce the idea of \(I\)-compactness as a covering property through ideals of...