Add to ORKGABSTRACT. If a compact set K ⊂ R2 contains a positive-dimensional family of line-segments in every direction, thenK has positive measure. 1
© 2021 Elsevier B.V.We prove that for all positive integers n and k, there exists an integer N=N(n,k...
Let Hh be the h-dimensional Hausdorff measure on Rd. Besicovitch showed that if a set E is null for ...
nonmeasurable sets by B. K i r chh e im (Bratislava) and T. Na tkan i e c (Bydgoszcz) Abstract. In [...
Abstract: If a compact set K ⊂ R2 contains a positive-dimensional family of line-segments in every d...
If a compact set K ⊂ ℝ2 contains a positive-dimensional family of line-segments in every direction, ...
We study continuous 1-dimensional time parametrization and (n - 1)-dimensional direction parametriza...
A Besicovitch set is a set which contains a unit line segment in any direction. It is known that the...
A Besicovitch set is a subset of R d that contains a unit line segment in every direction and the fa...
A Besicovitch set is a set which contains a unit line segment in any direc-tion. It is known that th...
In this work we de fine Hausdorff measure and dimension, describe the geometrical construction of a ...
A Besicovitch set in AG(n; q) is a set of points containing a line in every direction. The Kakeya pr...
AbstractFor a large class of Cantor sets on the real-line, we find sufficient and necessary conditio...
AbstractA two-dimensional Besicovitch set over a finite field is a subset of the finite plane contai...
Many proofs of the fact that there exist Lebesgue nonmeasurable subsets of the real line are known. ...
An important theorem of geometric measure theory (first proved by Besicov-itch and Davies for Euclid...
© 2021 Elsevier B.V.We prove that for all positive integers n and k, there exists an integer N=N(n,k...
Let Hh be the h-dimensional Hausdorff measure on Rd. Besicovitch showed that if a set E is null for ...
nonmeasurable sets by B. K i r chh e im (Bratislava) and T. Na tkan i e c (Bydgoszcz) Abstract. In [...
Abstract: If a compact set K ⊂ R2 contains a positive-dimensional family of line-segments in every d...
If a compact set K ⊂ ℝ2 contains a positive-dimensional family of line-segments in every direction, ...
We study continuous 1-dimensional time parametrization and (n - 1)-dimensional direction parametriza...
A Besicovitch set is a set which contains a unit line segment in any direction. It is known that the...
A Besicovitch set is a subset of R d that contains a unit line segment in every direction and the fa...
A Besicovitch set is a set which contains a unit line segment in any direc-tion. It is known that th...
In this work we de fine Hausdorff measure and dimension, describe the geometrical construction of a ...
A Besicovitch set in AG(n; q) is a set of points containing a line in every direction. The Kakeya pr...
AbstractFor a large class of Cantor sets on the real-line, we find sufficient and necessary conditio...
AbstractA two-dimensional Besicovitch set over a finite field is a subset of the finite plane contai...
Many proofs of the fact that there exist Lebesgue nonmeasurable subsets of the real line are known. ...
An important theorem of geometric measure theory (first proved by Besicov-itch and Davies for Euclid...
© 2021 Elsevier B.V.We prove that for all positive integers n and k, there exists an integer N=N(n,k...
Let Hh be the h-dimensional Hausdorff measure on Rd. Besicovitch showed that if a set E is null for ...
nonmeasurable sets by B. K i r chh e im (Bratislava) and T. Na tkan i e c (Bydgoszcz) Abstract. In [...