Finite-dimensional diffeological vector spaces being and not being coproducts
Differential Geometry
2022-12-06 v1
Abstract
We discuss the question when a finite-dimensional diffeological vector space is, or turns out not to be, the coproduct of its subspaces in the category of diffeological vector spaces, after reviewing the same question in some other categories, where however it is limited to infinite dimension.
Cite
@article{arxiv.2212.02297,
title = {Finite-dimensional diffeological vector spaces being and not being coproducts},
author = {Ekaterina Pervova},
journal= {arXiv preprint arXiv:2212.02297},
year = {2022}
}
Comments
10 pages, no figures