Add to ORKGIn this work we de fine Hausdorff measure and dimension, describe the geometrical construction of a Besikovitch set and adapt this approach to construct a Kakeya set. We also describe another construction of a Besicovitch set using the properties of projections of irregular sets. Finally we present other examples of "impossible sets". Powered by TCPDF (www.tcpdf.org
We give an example, in the innite dimensional separable Hilbert space, of a purely unrectiable Borel...
A Besicovitch set is a set which contains a unit line segment in any direc-tion. It is known that th...
We prove that every Besicovitch set in ℝ^3 must have Hausdorff dimension at least 5/2 + ϵ_0 for some...
A Besicovitch set is a subset of R d that contains a unit line segment in every direction and the fa...
In this thesis, we use the connections between projections and rectifiability to study problems in g...
A Besicovitch set in AG(n; q) is a set of points containing a line in every direction. The Kakeya pr...
Fractal sets are irregular sets, exhibiting interesting properties. Some well-known fractal sets are...
We study the question of lower bounds for the Hausdorff dimension of a set in Rn containing spheres ...
A Kakeya, or Besicovitch, set in a vector space is a set which contains a line in every direction. T...
I certify that I have authored this Diploma Thesis independently and without use of others than the ...
AbstractA two-dimensional Besicovitch set over a finite field is a subset of the finite plane contai...
O intuito da presente dissertação é o estudo do chamado problema de Kakeya. Mais precisamente, depoi...
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...
We consider (bounded) Besicovitch sets in the Heisenberg group and prove that Lp estimates for the K...
A Besicovitch set is a set which contains a unit line segment in any direction. It is known that the...
We give an example, in the innite dimensional separable Hilbert space, of a purely unrectiable Borel...
A Besicovitch set is a set which contains a unit line segment in any direc-tion. It is known that th...
We prove that every Besicovitch set in ℝ^3 must have Hausdorff dimension at least 5/2 + ϵ_0 for some...
A Besicovitch set is a subset of R d that contains a unit line segment in every direction and the fa...
In this thesis, we use the connections between projections and rectifiability to study problems in g...
A Besicovitch set in AG(n; q) is a set of points containing a line in every direction. The Kakeya pr...
Fractal sets are irregular sets, exhibiting interesting properties. Some well-known fractal sets are...
We study the question of lower bounds for the Hausdorff dimension of a set in Rn containing spheres ...
A Kakeya, or Besicovitch, set in a vector space is a set which contains a line in every direction. T...
I certify that I have authored this Diploma Thesis independently and without use of others than the ...
AbstractA two-dimensional Besicovitch set over a finite field is a subset of the finite plane contai...
O intuito da presente dissertação é o estudo do chamado problema de Kakeya. Mais precisamente, depoi...
In the thesis we pursue the term Hausdorff measure and dimension. Hausdorff measure is a non-negativ...
We consider (bounded) Besicovitch sets in the Heisenberg group and prove that Lp estimates for the K...
A Besicovitch set is a set which contains a unit line segment in any direction. It is known that the...
We give an example, in the innite dimensional separable Hilbert space, of a purely unrectiable Borel...
A Besicovitch set is a set which contains a unit line segment in any direc-tion. It is known that th...
We prove that every Besicovitch set in ℝ^3 must have Hausdorff dimension at least 5/2 + ϵ_0 for some...