Shakhmatov, Dimitri; Tkachenko, Mikhail; Tkachuk, Vladimir V.; Wilson, Richard G.(Universitat Politècnica de València, 2002-10-01)
[EN] The problem of whether a given connected Tychonoff space admits a strictly finer connected Tychonoff topology is considered. We show that every Tychonoff space X satisfying ω (X) ≤ c and c (X) ≤ N0 admits a finer ...
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.