Commit 2021-07-27 19:34 2ea73d1c
View on Github →feat(analysis/normed_space/SemiNormedGroup): has_cokernels (#7628)
Cokernels in SemiNormedGroup₁ and SemiNormedGroup
We show that SemiNormedGroup₁
has cokernels
(for which of course the cokernel.π f
maps are norm non-increasing),
as well as the easier result that SemiNormedGroup
has cokernels.
So far, I don't see a way to state nicely what we really want:
SemiNormedGroup
has cokernels, and cokernel.π f
is norm non-increasing.
The problem is that the limits API doesn't promise you any particular model of the cokernel,
and in SemiNormedGroup
one can always take a cokernel and rescale its norm
(and hence making cokernel.π f
arbitrarily large in norm), obtaining another categorical cokernel.