Arhangelskii, A.V.; Uspenskij, Vladimir V.(Universitat Politècnica de València, 2006-04-01)
[EN] It is well known that locally compact groups are paracompact. We observe that this theorem can be generalized as follows: every locally paracompact group is paracompact. We prove a more general version of this statement ...
Uspenskij, Vladimir V.(Universitat Politècnica de València, 2008-10-01)
[EN] For every Tikhonov space X the free abelian topological group A(X) and the free locally convex vector space L(X) admit a topologically faithful unitary representation. For compact spaces X this is due to Jorge Galindo.