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.
Protasov, Igor V.(Universitat Politècnica de València, 2008-10-01)
[EN] A ballean is a set endowed with some family of subsets which are called the balls. The properties of the family of balls are postulated in such a way that the balleans can be considered as a natural asymptotic ...
Miranda, Anna Maria(Universitat Politècnica de València, 2008-10-01)
[EN] In this note a new class of topological spaces generalizingk-spaces, the pseudo-k-spaces, is introduced and investigated. Particu-lar attention is given to the study of products of such spaces, in analogyto what is ...
Filali, Mahmoud; Protasov, Igor V.(Universitat Politècnica de València, 2008-10-01)
[EN] A ballean is a set endowed with some family of balls in such a way that a ballean can be considered as an asymptotic counterpart of a uniform topological space. We introduce and study a new cardinal invariant called ...