We study the branch set of a mapping between subsets of Rn, i.e., the set where a given mapping is not defining a local homeomorphism. We construct several sharp examples showing that the branch set or its image can have positive measure.peerReviewe
We study global injectivity of proper branched coverings from the open Euclidean -ball onto an ope...
We provide sufficient conditions so that a homeomorphism of the real line or of the circle admits an...
A (d,¿)-net in a matroid M is a pair where N is a minor of M, is a set of series classes in N, , and...
We show that an entire branched cover of finite distortion cannot have a compact branch set if its d...
Abstract. We study how planar Sobolev homeomorphisms dis-tort sets of Hausdorff dimension strictly l...
In the following thesis we will be mostly concerned with questions related to the regularity of solu...
In this book we introduce the class of mappings of finite distortion as a generalization of the clas...
These are lecture notes for the course “Degree theory and branched cov-ers ” lectured at the Univers...
Let f be a mapping of nite distortion omitting a set of positive conformal modulus. We show that if ...
We study mappings of finite distortion between Riemannian manifolds. We establish Vaisala's ine...
We determine the correct dimension gauge for measuring generalized quasicircles (the images of a cir...
Abstract. In 1971 V. M. Goldshtein [14] has proved a theorem about lo-cal homeomorphism of mappings ...
We show that, if the local dimension of the image of the branch set of a discrete and open mapping f...
The image of the branch set of a piecewise linear (PL)‐branched cover between PL n‐manifolds is a si...
We show that every L-BLD-mapping in a domain of Rn is a local homeomorphism if L<2–√ or KI(f)<2. The...
We study global injectivity of proper branched coverings from the open Euclidean -ball onto an ope...
We provide sufficient conditions so that a homeomorphism of the real line or of the circle admits an...
A (d,¿)-net in a matroid M is a pair where N is a minor of M, is a set of series classes in N, , and...
We show that an entire branched cover of finite distortion cannot have a compact branch set if its d...
Abstract. We study how planar Sobolev homeomorphisms dis-tort sets of Hausdorff dimension strictly l...
In the following thesis we will be mostly concerned with questions related to the regularity of solu...
In this book we introduce the class of mappings of finite distortion as a generalization of the clas...
These are lecture notes for the course “Degree theory and branched cov-ers ” lectured at the Univers...
Let f be a mapping of nite distortion omitting a set of positive conformal modulus. We show that if ...
We study mappings of finite distortion between Riemannian manifolds. We establish Vaisala's ine...
We determine the correct dimension gauge for measuring generalized quasicircles (the images of a cir...
Abstract. In 1971 V. M. Goldshtein [14] has proved a theorem about lo-cal homeomorphism of mappings ...
We show that, if the local dimension of the image of the branch set of a discrete and open mapping f...
The image of the branch set of a piecewise linear (PL)‐branched cover between PL n‐manifolds is a si...
We show that every L-BLD-mapping in a domain of Rn is a local homeomorphism if L<2–√ or KI(f)<2. The...
We study global injectivity of proper branched coverings from the open Euclidean -ball onto an ope...
We provide sufficient conditions so that a homeomorphism of the real line or of the circle admits an...
A (d,¿)-net in a matroid M is a pair where N is a minor of M, is a set of series classes in N, , and...
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