Direct limits of infinite-dimensional Carnot groups
-
Published:2022-06-11
Issue:2
Volume:128
Page:
-
ISSN:1903-1807
-
Container-title:MATHEMATICA SCANDINAVICA
-
language:
-
Short-container-title:Math. Scand.
Author:
Moisala Terhi,Pasqualetto Enrico
Abstract
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.
Publisher
Det Kgl. Bibliotek/Royal Danish Library
Subject
General Mathematics