AbstractWe will prove that if A and B are subsets of the real line, each having positive outer Lebesgue measure, then A + B, the set of all numbers a + b with a ϵ A and b ϵ B, is “full,” in the sense of outer Lebesgue measure, in some interval K. This result is related to theorems of Steinhaus and Smítal
AbstractIt is shown that the arithmetic sum of middle-α Cantor sets typically has positive Lebesgue ...
AbstractFor a large class of Cantor sets on the real-line, we find sufficient and necessary conditio...
Abstract. Let ν be a finite countably subadditive outer measure defined on all subsets of a set X, t...
AbstractWe will prove that if A and B are subsets of the real line, each having positive outer Lebes...
AbstractWe will prove that if A, B are subsets of the real line R with positive outer Lebesgue measu...
AbstractWe will prove that if A, B are subsets of the real line R with positive outer Lebesgue measu...
Steinhaus has shown that the subset of $R$ of the form A+B={a+b:ain A,bin B}contains an interval pro...
Steinhaus has shown that the subset of $R$ of the form A+B={a+b:ain A,bin B}contains an interval pro...
In 1920 the Polish mathematician Hugo Steinhaus (1887-1972) proved that the distance set of a subset...
In this paper we present a new inequality for the Lebesgue measure and give some of its applications...
Many proofs of the fact that there exist Lebesgue nonmeasurable subsets of the real line are known. ...
Let ν be a finite countably subadditive outer measure defined on all subsets of a set X, take a coll...
Classification: 46B20 Let G = [0, 1] and µ be the Lebesgue measure on G. We denote by M: (−∞,+∞) → [...
Outer and inner measures of a measure μ are defined and used to prove results involving them on a la...
Whenever we have a measure function α defined on some set M of subsets of a set T, we may determine ...
AbstractIt is shown that the arithmetic sum of middle-α Cantor sets typically has positive Lebesgue ...
AbstractFor a large class of Cantor sets on the real-line, we find sufficient and necessary conditio...
Abstract. Let ν be a finite countably subadditive outer measure defined on all subsets of a set X, t...
AbstractWe will prove that if A and B are subsets of the real line, each having positive outer Lebes...
AbstractWe will prove that if A, B are subsets of the real line R with positive outer Lebesgue measu...
AbstractWe will prove that if A, B are subsets of the real line R with positive outer Lebesgue measu...
Steinhaus has shown that the subset of $R$ of the form A+B={a+b:ain A,bin B}contains an interval pro...
Steinhaus has shown that the subset of $R$ of the form A+B={a+b:ain A,bin B}contains an interval pro...
In 1920 the Polish mathematician Hugo Steinhaus (1887-1972) proved that the distance set of a subset...
In this paper we present a new inequality for the Lebesgue measure and give some of its applications...
Many proofs of the fact that there exist Lebesgue nonmeasurable subsets of the real line are known. ...
Let ν be a finite countably subadditive outer measure defined on all subsets of a set X, take a coll...
Classification: 46B20 Let G = [0, 1] and µ be the Lebesgue measure on G. We denote by M: (−∞,+∞) → [...
Outer and inner measures of a measure μ are defined and used to prove results involving them on a la...
Whenever we have a measure function α defined on some set M of subsets of a set T, we may determine ...
AbstractIt is shown that the arithmetic sum of middle-α Cantor sets typically has positive Lebesgue ...
AbstractFor a large class of Cantor sets on the real-line, we find sufficient and necessary conditio...
Abstract. Let ν be a finite countably subadditive outer measure defined on all subsets of a set X, t...
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