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arXiv · 2304.11544

A short note on coproducts of abelian pro-Lie groups

Wolfgang Herfort·Karl H. Hofmann·Francesco G. Russo
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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.

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Wolfgang Herfort, Karl H. Hofmann, Francesco G. Russo. 2023-04-23. A short note on coproducts of abelian pro-Lie groups. https://doi.org/10.1007/s00605-023-01915-1

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