A short note on coproducts of abelian pro-Lie groups
Group Theory
2023-11-21 v1 Category Theory
General Topology
Abstract
The notion of conditional coproduct of a family of abelian pro-Lie groups in the category of abelian pro-Lie groups is introduced. It is shown that the cartesian product of an arbitrary family of abelian pro-Lie groups can be characterized by the universal property of the conditional coproduct.
Cite
@article{arxiv.2304.11544,
title = {A short note on coproducts of abelian pro-Lie groups},
author = {Wolfgang Herfort and Karl H. Hofmann and Francesco G. Russo},
journal= {arXiv preprint arXiv:2304.11544},
year = {2023}
}
Comments
6 pages