Hans-Peter A. Künzi, Salvador Romaguera
Left $K$-completeness of the Hausdorff quasi-uniformity
The paper is published:
Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. 51, 167-176(1997)
Abstract: Left $K$-completeness of the Hausdorff quasi-uniformity is
- 54E15 Uniform structures and generalizations
- 54E35 Metric spaces, metrizability
- 54B20 Hyperspaces
In particular the restriction of this quasi-uniformity to the
(nonempty) compact subsets of a quasi-metric space is studied.
Among other things it is shown that for any topological space the Hausdorff quasi-uniformity of the
well-monotone quasi-uniformity is left $K$-complete.
Keywords: Left $K$-complete, Smyth complete, Hausdorff quasi-uniformity, Bourbaki quasi-uniformity, well-monotone quasi-uniformity.