Add to ORKGSteinhaus has shown that the subset of $R$ of the form A+B={a+b:ain A,bin B}contains an interval provided both sets $AinR$ and $BinR$ have positive Lebesgue measure. In the present paper the author generalizes this fact to subsets of $R^n$, $nin N$, satisfying the above conditions. The statement is proved in a new way using a very interesting lemma
summary:This paper is closely related to an earlier paper of the author and W. Narkiewicz (cf. [7])...
Laczkovich proved that if bounded subsets $A$ and $B$ of $R^k$ have the same non-zero Lebesgue measu...
This thesis is an attempt to establish an abstract model for Lebesgue measure and Baire category. ...
Steinhaus has shown that the subset of $R$ of the form A+B={a+b:ain A,bin B}contains an interval pro...
AbstractWe will prove that if A and B are subsets of the real line, each having positive outer Lebes...
summary:Steinhaus [9] prove that if a set $A$ has a positive Lebesgue measure in the line then its d...
summary:Steinhaus [9] prove that if a set $A$ has a positive Lebesgue measure in the line then its d...
AbstractWe will prove that if A and B are subsets of the real line, each having positive outer Lebes...
In 1920 the Polish mathematician Hugo Steinhaus (1887-1972) proved that the distance set of a subset...
summary:Steinhaus [9] prove that if a set $A$ has a positive Lebesgue measure in the line then its d...
A point set satisfies the Steinhaus property if no matter how it is placed on a plane, it covers exa...
In this paper we present a new inequality for the Lebesgue measure and give some of its applications
Whenever we have a measure function α defined on some set M of subsets of a set T, we may determine ...
Whenever we have a measure function α defined on some set M of subsets of a set T, we may determine ...
summary:This paper is closely related to an earlier paper of the author and W. Narkiewicz (cf. [7])...
summary:This paper is closely related to an earlier paper of the author and W. Narkiewicz (cf. [7])...
Laczkovich proved that if bounded subsets $A$ and $B$ of $R^k$ have the same non-zero Lebesgue measu...
This thesis is an attempt to establish an abstract model for Lebesgue measure and Baire category. ...
Steinhaus has shown that the subset of $R$ of the form A+B={a+b:ain A,bin B}contains an interval pro...
AbstractWe will prove that if A and B are subsets of the real line, each having positive outer Lebes...
summary:Steinhaus [9] prove that if a set $A$ has a positive Lebesgue measure in the line then its d...
summary:Steinhaus [9] prove that if a set $A$ has a positive Lebesgue measure in the line then its d...
AbstractWe will prove that if A and B are subsets of the real line, each having positive outer Lebes...
In 1920 the Polish mathematician Hugo Steinhaus (1887-1972) proved that the distance set of a subset...
summary:Steinhaus [9] prove that if a set $A$ has a positive Lebesgue measure in the line then its d...
A point set satisfies the Steinhaus property if no matter how it is placed on a plane, it covers exa...
In this paper we present a new inequality for the Lebesgue measure and give some of its applications
Whenever we have a measure function α defined on some set M of subsets of a set T, we may determine ...
Whenever we have a measure function α defined on some set M of subsets of a set T, we may determine ...
summary:This paper is closely related to an earlier paper of the author and W. Narkiewicz (cf. [7])...
summary:This paper is closely related to an earlier paper of the author and W. Narkiewicz (cf. [7])...
Laczkovich proved that if bounded subsets $A$ and $B$ of $R^k$ have the same non-zero Lebesgue measu...
This thesis is an attempt to establish an abstract model for Lebesgue measure and Baire category. ...