A short note on coproducts of abelian pro-Lie groups
arXiv:2304.11544 · doi:10.1007/s00605-023-01915-1
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.
6 pages