Add to ORKGWe prove that every analytic set in ωω × ωω with σ-bounded sections has a not σ-bounded closed free set. We show that this result is sharp. There exists a closed set with bounded sections which has no dominating analytic free set. and there exists a closed set with non-dominating sections which does not have a not σ-bounded analytic free set. Under projective determinacy analytic can be replaced in the above results by projectiv
Our main result is that, given a collection ▫$mathcal{R}$▫ of meager relations on a Polish space ▫$X...
AbstractIt is shown that if B is a thin subset of a free topological group FM(X), then supp(B) is th...
After proving the known result that the homeomorphism group () of the reals has a free subgroup of r...
AbstractWe show that every dominating analytic set in the Baire space has a dominating closed subset...
Introduction. A set A ⊆ X is said to be free for a set mapping F from X into the power set P (X) of ...
AbstractWe show that every analytic set in the Baire space which is dominating contains the branches...
Let us call a set A ⊆ ω^ω of functions from ω into ω σ-bounded if there is a countable sequence of f...
AbstractEvery Boolean algebra B has a dense subset D with property that centered subsets of D are fr...
AbstractLet F(X) (A(X)) be the free (Abelian) topological group over X. We prove: If P is one of the...
We prove the existence of free objects in certain subcategories of Banach lattices, including p-conv...
AbstractA dendrite D in a metric space X is said to be free if there exists a connected open set U i...
We produce an example of a Cantor set K such that for any definable map (in an o-minimal structure e...
AbstractMain Theorem. The free abelian topological group over a Tychonoff1 space contains as a close...
AbstractAssuming the absence of Q-points (which is consistent with ZFC) we prove that the free topol...
It is proved that every metrizable topological space without isolated points is the union of a conti...
Our main result is that, given a collection ▫$mathcal{R}$▫ of meager relations on a Polish space ▫$X...
AbstractIt is shown that if B is a thin subset of a free topological group FM(X), then supp(B) is th...
After proving the known result that the homeomorphism group () of the reals has a free subgroup of r...
AbstractWe show that every dominating analytic set in the Baire space has a dominating closed subset...
Introduction. A set A ⊆ X is said to be free for a set mapping F from X into the power set P (X) of ...
AbstractWe show that every analytic set in the Baire space which is dominating contains the branches...
Let us call a set A ⊆ ω^ω of functions from ω into ω σ-bounded if there is a countable sequence of f...
AbstractEvery Boolean algebra B has a dense subset D with property that centered subsets of D are fr...
AbstractLet F(X) (A(X)) be the free (Abelian) topological group over X. We prove: If P is one of the...
We prove the existence of free objects in certain subcategories of Banach lattices, including p-conv...
AbstractA dendrite D in a metric space X is said to be free if there exists a connected open set U i...
We produce an example of a Cantor set K such that for any definable map (in an o-minimal structure e...
AbstractMain Theorem. The free abelian topological group over a Tychonoff1 space contains as a close...
AbstractAssuming the absence of Q-points (which is consistent with ZFC) we prove that the free topol...
It is proved that every metrizable topological space without isolated points is the union of a conti...
Our main result is that, given a collection ▫$mathcal{R}$▫ of meager relations on a Polish space ▫$X...
AbstractIt is shown that if B is a thin subset of a free topological group FM(X), then supp(B) is th...
After proving the known result that the homeomorphism group () of the reals has a free subgroup of r...