Add to ORKGAbstract. For a Polish space X and a σ-ideal I of subsets of X which has a Borel base we consider families A of sets in I with the union SA not in I. We determine several conditions on A which imply the existence of a subfamily A ′ of A whose union SA ′ is not in the σ-field generated by the Borel sets on X and I. Main examples are X = R and I being the ideal of sets of Lebesgue measure zero or the ideal of sets of the first category. 1
AbstractWe show that if X is an uncountable productive γ-set [F. Jordan, Productive local properties...
We consider for any topologies τ1 ⊆ τ2 the ideal of sets A such that for each nonempty U ∈ τ2 there ...
Let G be an abelian Polish group, e.g. a separable Banach space. A subset X ⊂ G is called Haar null ...
AbstractFor a Polish space X and a σ-ideal I of subsets of X which has a Borel base we consider fami...
AbstractFor a Polish space X and a σ-ideal I of subsets of X which has a Borel base we consider fami...
Abstract. Let X and Y be uncountable Polish spaces. A ⊂ X×Y represents a family of sets C provided e...
summary:Let $(X,\mathbb I)$ be a Polish ideal space and let $T$ be any set. We show that under some ...
summary:Let $(X,\mathbb I)$ be a Polish ideal space and let $T$ be any set. We show that under some ...
AbstractWe study those ideals I of sets in a perfect Polish space X which admit a Borel measurable f...
Let I be a σ-ideal on a Polish space such that each set from I is contained in a Borel set from I. W...
It is shown that theσ-ideal U_0 of closed sets of extended uniqueness in T is hereditarily non-Borel...
Let I be a σ-ideal on a Polish space such that each set from I is contained in a Borel set from I. W...
It is shown that theσ-ideal U_0 of closed sets of extended uniqueness in T is hereditarily non-Borel...
It is shown that theσ-ideal U_0 of closed sets of extended uniqueness in T is hereditarily non-Borel...
Abstract We present several naturally defined σ-ideals which have Borel bases but, unlike for the cl...
AbstractWe show that if X is an uncountable productive γ-set [F. Jordan, Productive local properties...
We consider for any topologies τ1 ⊆ τ2 the ideal of sets A such that for each nonempty U ∈ τ2 there ...
Let G be an abelian Polish group, e.g. a separable Banach space. A subset X ⊂ G is called Haar null ...
AbstractFor a Polish space X and a σ-ideal I of subsets of X which has a Borel base we consider fami...
AbstractFor a Polish space X and a σ-ideal I of subsets of X which has a Borel base we consider fami...
Abstract. Let X and Y be uncountable Polish spaces. A ⊂ X×Y represents a family of sets C provided e...
summary:Let $(X,\mathbb I)$ be a Polish ideal space and let $T$ be any set. We show that under some ...
summary:Let $(X,\mathbb I)$ be a Polish ideal space and let $T$ be any set. We show that under some ...
AbstractWe study those ideals I of sets in a perfect Polish space X which admit a Borel measurable f...
Let I be a σ-ideal on a Polish space such that each set from I is contained in a Borel set from I. W...
It is shown that theσ-ideal U_0 of closed sets of extended uniqueness in T is hereditarily non-Borel...
Let I be a σ-ideal on a Polish space such that each set from I is contained in a Borel set from I. W...
It is shown that theσ-ideal U_0 of closed sets of extended uniqueness in T is hereditarily non-Borel...
It is shown that theσ-ideal U_0 of closed sets of extended uniqueness in T is hereditarily non-Borel...
Abstract We present several naturally defined σ-ideals which have Borel bases but, unlike for the cl...
AbstractWe show that if X is an uncountable productive γ-set [F. Jordan, Productive local properties...
We consider for any topologies τ1 ⊆ τ2 the ideal of sets A such that for each nonempty U ∈ τ2 there ...
Let G be an abelian Polish group, e.g. a separable Banach space. A subset X ⊂ G is called Haar null ...