Direct limits of infinite-dimensional Carnot groups
Metric Geometry
2021-01-12 v1 Functional Analysis
Group Theory
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.
Keywords
Cite
@article{arxiv.2101.03979,
title = {Direct limits of infinite-dimensional Carnot groups},
author = {Terhi Moisala and Enrico Pasqualetto},
journal= {arXiv preprint arXiv:2101.03979},
year = {2021}
}
Comments
27 pages