Displaying similar documents to “On Convergence of Transfinite Sequences”

On uniformly locally compact quasi-uniform hyperspaces

Hans-Peter A. Künzi, Salvador Romaguera, M. A. Sánchez-Granero (2004)

Czechoslovak Mathematical Journal

Similarity:

We characterize those Tychonoff quasi-uniform spaces ( X , 𝒰 ) for which the Hausdorff-Bourbaki quasi-uniformity is uniformly locally compact on the family 𝒦 0 ( X ) of nonempty compact subsets of X . We deduce, among other results, that the Hausdorff-Bourbaki quasi-uniformity of the locally finite quasi-uniformity of a Tychonoff space X is uniformly locally compact on 𝒦 0 ( X ) if and only if X is paracompact and locally compact. We also introduce the notion of a co-uniformly locally compact quasi-uniform space...