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Motivated by this fact, we define the concept of a τ-distance function in a general topological space (X, τ) and we prove that symmetrizable topological spaces ([5]) and
ically associated to the synchronizing (or semisynchronizing) subshift, in the sense that a topological conjugacy of subshifts induces a block conjugacy of the topological Markov
As far as we are aware the duality between N -compact spaces and a class of Z -rings is new, as is the duality between a certain class of topological abelian groups and a class
Motivated by this fact, we define the concept of a τ -distance function in a general topological space ( X, τ ) and we prove that symmetrizable topological spaces ([5]) and
46Axx Topological linear spaces and related structures {For function spaces, see 46Exx} 46A03 General theory of locally convex spaces 46A04 Locally convex Fr´echet spaces
Bourbaki coincide with Borel subsets of complete separable metric spaces while in the modern set-theoretical topology Luzin topological spaces are uncountable Hausdorff spaces
In the present paper new sufficient conditions are established for equation (1.1) to have Properties A and B. They complement some results given in Section 6 of [16] and are new even
A simplied proof of the Daniel integral extension theorem in ordered spaces // Math... Radon measures on arbitrary topological spaces and cylindrical measures.|London: Ox-