Commit 2021-06-21 03:37 5cdbb4c0
View on Github →feat(algebra/*/pi, topology/continuous_function/algebra): homomorphism induced by left-composition (#7984)
Given a monoid homomorphism from α
to β
, there is an induced monoid homomorphism from I → α
to I → β
, by left-composition.
Same result for semirings, modules, algebras.
Same result for topological monoids, topological semirings, etc, and the function spaces C(I, α)
, C(I, β)
, if the homomorphism is continuous.
Of these eight constructions, the only one I particularly want is the last one (topological algebras). If reviewers feel it is better not to clog mathlib up with unused constructions, I am happy to cut the other seven from this PR.