Commit 2022-10-19 04:48 f01de4e1

feat(topology/algebra/uniform_convergence): criterion for a vector subspace of α → E to be a TVS for the topology of 𝔖-convergence (#14857) The main theorem is uniform_convergence_on.has_continuous_smul_induced_of_image_bounded. As explained in the module docstring, one could get rid of requiring 𝔖 to be nonempty and directed, but the easiest way to get that is to wait until we know that replacing 𝔖 by its noncovering bornology (i.e not what bornology currently refers to in mathlib) doesn't change the topology. This will allow to prove that strong topologies on the space of continuous linear maps between two TVSs are also TVS topologies