Calculus of Variations and Geometric Measure Theory

T. Moisala - E. Pasqualetto

Direct limits of infinite-dimensional Carnot groups

created by pasqualetto on 12 Jan 2021
modified on 20 Aug 2021


Accepted Paper

Inserted: 12 jan 2021
Last Updated: 20 aug 2021

Journal: Mathematica Scandinavica
Year: 2021

ArXiv: 2101.03979 PDF


We give a construction of direct limits in the category of complete metric scalable groups and provide sufficient conditions for the limit to be an infinite-dimensional Carnot group. We also prove a Rademacher-type theorem for such limits.

Tags: GeoMeG