Add to ORKGIf E C C is a set with finite length and finite curvature, then E is rectifiable. This fact, proved by David and Léger in 1999, is one of the basic ingredients for the proof of Vitushkin's conjecture. In this paper we give another different proof of this result
We generalize a classical theorem of Besicovitch, showing that, for any positive integers $k<n$, if ...
Abstract. We show that there is a point on a computable arc that does not belong to any computable r...
This paper is devoted to the study of sets of finite perimeter in RCD(K,N) metric measure spaces. I...
Thesis (Ph.D.)--University of Washington, 2021Understanding the geometry of rectifiable sets and mea...
The book describes how curvature measures can be introduced for certain classes of sets with singula...
In the present paper we prove that for any open connected set Ω ⊂ R, n≥ 1 , and any E⊂ ∂Ω with H(E) ...
In this thesis, we use the connections between projections and rectifiability to study problems in g...
This work we study the proof of Preiss'Theorem,which states that alo cally finite Borel measure on R...
We continue to develop a program in geometric measure theory that seeks to identify how measures in ...
We prove that a metric measure space $(X,d,m)$ satisfying finite dimensional lower Ricci curvature b...
In geometric measure theory, there is interest in understanding the interactions of measures with re...
For an $m$~dimensional $\mathcal{H}^m$~measurable set $\Sigma$ we define, axiomatically, a class of ...
Abstract. It is proved that the total length of any set of countably many rectifiable curves, whose ...
In geometric measure theory, there is interest in understanding the interactions of measures with re...
summary:In some recent work, fractal curvatures $C^f_k(F)$ and fractal curvature measures $C^f_k(F,\...
We generalize a classical theorem of Besicovitch, showing that, for any positive integers $k<n$, if ...
Abstract. We show that there is a point on a computable arc that does not belong to any computable r...
This paper is devoted to the study of sets of finite perimeter in RCD(K,N) metric measure spaces. I...
Thesis (Ph.D.)--University of Washington, 2021Understanding the geometry of rectifiable sets and mea...
The book describes how curvature measures can be introduced for certain classes of sets with singula...
In the present paper we prove that for any open connected set Ω ⊂ R, n≥ 1 , and any E⊂ ∂Ω with H(E) ...
In this thesis, we use the connections between projections and rectifiability to study problems in g...
This work we study the proof of Preiss'Theorem,which states that alo cally finite Borel measure on R...
We continue to develop a program in geometric measure theory that seeks to identify how measures in ...
We prove that a metric measure space $(X,d,m)$ satisfying finite dimensional lower Ricci curvature b...
In geometric measure theory, there is interest in understanding the interactions of measures with re...
For an $m$~dimensional $\mathcal{H}^m$~measurable set $\Sigma$ we define, axiomatically, a class of ...
Abstract. It is proved that the total length of any set of countably many rectifiable curves, whose ...
In geometric measure theory, there is interest in understanding the interactions of measures with re...
summary:In some recent work, fractal curvatures $C^f_k(F)$ and fractal curvature measures $C^f_k(F,\...
We generalize a classical theorem of Besicovitch, showing that, for any positive integers $k<n$, if ...
Abstract. We show that there is a point on a computable arc that does not belong to any computable r...
This paper is devoted to the study of sets of finite perimeter in RCD(K,N) metric measure spaces. I...