Topology on diffeological vector spaces
Functional Analysis
2022-05-20 v1 General Topology
Abstract
It is expected that the -topology makes every diffeological vector space into a topological vector space. We show that it is the case for a large class of diffeological vector spaces via -space theory, but not so in general. The paper also proposes the study of a class of almost topological vector spaces.
Cite
@article{arxiv.2205.09562,
title = {Topology on diffeological vector spaces},
author = {Enxin Wu and Zhongqiang Yang},
journal= {arXiv preprint arXiv:2205.09562},
year = {2022}
}