Geodesic
On Conditions for Unrectifiability of a Metric Space
Analysis and Geometry in Metric Spaces, Tome 3 (2015) no. 1 Cet article a éte moissonné depuis la source The Polish Digital Mathematics Library

Voir la notice de l'article

We find necessary and sufficient conditions for a Lipschitz map f : E ⊂ Rk → X into a metric space to satisfy Hk(f(E)) = 0. An interesting feature of our approach is that despite the fact that we are dealing with arbitrary metric spaces, we employ a variant of the classical implicit function theorem. Applications include pure unrectifiability of the Heisenberg groups.
Mots-clés : geometric measure theory, unrectifiability, metric spaces, Sard theorem, Carnot-Carathéodoryspaces 
@article{AGMS_2015_3_1_a17,
     author = {Haj{\l}asz, Piotr and Malekzadeh, Soheil},
     title = {On {Conditions} for {Unrectifiability} of a {Metric} {Space}},
     journal = {Analysis and Geometry in Metric Spaces},
     year = {2015},
     volume = {3},
     number = {1},
     zbl = {1321.28008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AGMS_2015_3_1_a17/}
}
TY  - JOUR
AU  - Hajłasz, Piotr
AU  - Malekzadeh, Soheil
TI  - On Conditions for Unrectifiability of a Metric Space
JO  - Analysis and Geometry in Metric Spaces
PY  - 2015
VL  - 3
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AGMS_2015_3_1_a17/
LA  - en
ID  - AGMS_2015_3_1_a17
ER  - 
%0 Journal Article
%A Hajłasz, Piotr
%A Malekzadeh, Soheil
%T On Conditions for Unrectifiability of a Metric Space
%J Analysis and Geometry in Metric Spaces
%D 2015
%V 3
%N 1
%U http://geodesic.mathdoc.fr/item/AGMS_2015_3_1_a17/
%G en
%F AGMS_2015_3_1_a17
Hajłasz, Piotr; Malekzadeh, Soheil. On Conditions for Unrectifiability of a Metric Space. Analysis and Geometry in Metric Spaces, Tome 3 (2015) no. 1. http://geodesic.mathdoc.fr/item/AGMS_2015_3_1_a17/