Add to ORKGFor any subset C of R there is a subset A of C such that A+A has inner measure zero and outer measure the same as C+C. Also, there is a subset A of the Cantor middle third set such that A+A is Bernstein in [0,2]. On the other hand there is a perfect set C such that C+C is an interval I and there is no subset A of C with A+A Bernstein in I
summary:In this note, we prove that the countable compactness of $\lbrace 0,1\rbrace ^{{\mathbb{R}}}...
In relation to the Erd\H os similarity problem (show that for any infinite set $A$ of real numbers t...
Fix $\alpha \in (0,1/3)$. We show that, from a topological point of view, almost all sets $A\subsete...
For any subset C of R there is a subset A of C such that A+A has inner measure zero and outer measur...
In this note we will show that for every natural number n> 0 there exists an S ⊂ [0, 1] such that...
In this note we will show that for every natural number n \u3e 0 there exists an S ⊂ [0, 1] such tha...
AbstractBartoszynski, T. and S. Shelah, Closed measure zero sets, Annals of Pure and Applied Logic 5...
For some natural classes of topological vector spaces, we show the absolute nonmeasurability of Mink...
Abstract. We present a theorem which generalizes some known theorems on the existence of nonmeasurab...
summary:We develop a theory of sharp measure zero sets that parallels Borel's strong measure zero, a...
summary:Let $(X,\mathbb I)$ be a Polish ideal space and let $T$ be any set. We show that under some ...
AbstractWe will prove that if A and B are subsets of the real line, each having positive outer Lebes...
Fix α ∈ (0, 1/3). We show that, from a topological point of view, almost all sets A ⊆ N have the pro...
AbstractIt is shown that the arithmetic sum of middle-α Cantor sets typically has positive Lebesgue ...
Every central Cantor set of positive Lebesgue measure is the arithmetic sum of two central Cantor se...
summary:In this note, we prove that the countable compactness of $\lbrace 0,1\rbrace ^{{\mathbb{R}}}...
In relation to the Erd\H os similarity problem (show that for any infinite set $A$ of real numbers t...
Fix $\alpha \in (0,1/3)$. We show that, from a topological point of view, almost all sets $A\subsete...
For any subset C of R there is a subset A of C such that A+A has inner measure zero and outer measur...
In this note we will show that for every natural number n> 0 there exists an S ⊂ [0, 1] such that...
In this note we will show that for every natural number n \u3e 0 there exists an S ⊂ [0, 1] such tha...
AbstractBartoszynski, T. and S. Shelah, Closed measure zero sets, Annals of Pure and Applied Logic 5...
For some natural classes of topological vector spaces, we show the absolute nonmeasurability of Mink...
Abstract. We present a theorem which generalizes some known theorems on the existence of nonmeasurab...
summary:We develop a theory of sharp measure zero sets that parallels Borel's strong measure zero, a...
summary:Let $(X,\mathbb I)$ be a Polish ideal space and let $T$ be any set. We show that under some ...
AbstractWe will prove that if A and B are subsets of the real line, each having positive outer Lebes...
Fix α ∈ (0, 1/3). We show that, from a topological point of view, almost all sets A ⊆ N have the pro...
AbstractIt is shown that the arithmetic sum of middle-α Cantor sets typically has positive Lebesgue ...
Every central Cantor set of positive Lebesgue measure is the arithmetic sum of two central Cantor se...
summary:In this note, we prove that the countable compactness of $\lbrace 0,1\rbrace ^{{\mathbb{R}}}...
In relation to the Erd\H os similarity problem (show that for any infinite set $A$ of real numbers t...
Fix $\alpha \in (0,1/3)$. We show that, from a topological point of view, almost all sets $A\subsete...