Results 251 to 260 of about 607,497 (301)

On Pervin's quasi uniformity

open access: yesOn Pervin's quasi uniformity
openaire  

Completeness of the Quasi-uniformity of Quasi-uniform Convergence

Annals of the New York Academy of Sciences, 1996
ABSTRACT:We discuss the completeness of the quasi‐uniformity of quasi‐uniform convergence on function spaces. In particular we observe that the notions of quasi‐uniform completeness based on the convergence of several types of stable filters provide satisfactory results in this context.
Hans-Peter A Kunzi, Salvador Romaguera
exaly   +2 more sources

Uniqueness of Compatible Quasi-Uniformities

open access: yesCanadian Mathematical Bulletin, 1972
AbstractIt is shown that a topological space has a unique compatible quasi-uniformity if its topology is finite. Examples are given to show the converse is false for T1 and for normal second countable spaces. Two sufficient conditions are given for a topological space to have a compatible quasi-uniformity strictly finer than the associated Császár ...
Charles I. Votaw
openaire   +2 more sources

A quasi-metric space without complete quasi-uniformity

open access: yesTopology and Its Applications, 1996
We construct a quasi-metric space that does not admit any complete quasi ...
Hans-Peter A Kunzi, Stephen Watson
exaly   +2 more sources

The bicompletion of the Hausdorff quasi-uniformity

open access: yesTopology and Its Applications, 2009
We study conditions under which the Hausdorff quasi-uniformity UH of a quasi-uniform space (X,U) on the set P0(X) of the nonempty subsets of X is bicomplete.Indeed we present an explicit method to construct the bicompletion of the T0-quotient of the ...
Hans-Peter A Kunzi, S Romaguera
exaly   +2 more sources

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