Add to ORKGWe introduce new classes of small subsets of the reals, having natural combinatorial definitions, namely everywhere meagre and everywhere null sets. We investigate properties of these sets, in particular we show that these classes are closed under taking products and projections. We also prove several relations between these classes and other well-known classes of small subsets of the reals
Haar null sets were introduced by J.P.R. Christensen in 1972 to extend the notion of sets with zero ...
We study the problem in the title and show that it is equivalent to the fact that every set of reals...
We show that under appropriate set theoretic assumptions (which follow from Martin’s axiom and the c...
We introduce new classes of small subsets of the reals, having natural combinatorial definitions, na...
Abstract. We discuss the question which properties of smallness in the sense of measure and category...
AbstractWe construct under CH many uncountable sets of reals with strong combinatorial properties wh...
We open up a grab bag of miscellaneous results and remarks about sets of reals.Results concern: Kysi...
In this paper we extend the notion of a Lebesgue-null set to a notion which is valid in any complete...
In this note it is proved that the least cardinal K such that R cannot be covered by fc many null se...
In this paper we extend the notion of a Lebesgue-null set to a notion which is valid in any complete...
We describe a decomposition result for Lebesgue negligible sets in the plane, and outline some appli...
We describe a decomposition result for Lebesgue negligible sets in the plane, and outline some appli...
We show in (the usual set theory without Choice) that for any set X, the collection of sets Y such ...
We show in (the usual set theory without Choice) that for any set X, the collection of sets Y such ...
We show in (the usual set theory without Choice) that for any set X, the collection of sets Y such ...
Haar null sets were introduced by J.P.R. Christensen in 1972 to extend the notion of sets with zero ...
We study the problem in the title and show that it is equivalent to the fact that every set of reals...
We show that under appropriate set theoretic assumptions (which follow from Martin’s axiom and the c...
We introduce new classes of small subsets of the reals, having natural combinatorial definitions, na...
Abstract. We discuss the question which properties of smallness in the sense of measure and category...
AbstractWe construct under CH many uncountable sets of reals with strong combinatorial properties wh...
We open up a grab bag of miscellaneous results and remarks about sets of reals.Results concern: Kysi...
In this paper we extend the notion of a Lebesgue-null set to a notion which is valid in any complete...
In this note it is proved that the least cardinal K such that R cannot be covered by fc many null se...
In this paper we extend the notion of a Lebesgue-null set to a notion which is valid in any complete...
We describe a decomposition result for Lebesgue negligible sets in the plane, and outline some appli...
We describe a decomposition result for Lebesgue negligible sets in the plane, and outline some appli...
We show in (the usual set theory without Choice) that for any set X, the collection of sets Y such ...
We show in (the usual set theory without Choice) that for any set X, the collection of sets Y such ...
We show in (the usual set theory without Choice) that for any set X, the collection of sets Y such ...
Haar null sets were introduced by J.P.R. Christensen in 1972 to extend the notion of sets with zero ...
We study the problem in the title and show that it is equivalent to the fact that every set of reals...
We show that under appropriate set theoretic assumptions (which follow from Martin’s axiom and the c...