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Left K-Completeness in Quasi-Metric Spaces

โœ Scribed by Salvador Romaguera

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
580 KB
Volume
157
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

Abstract

Regular left Kโ€sequentially complete quasiโ€metric spaces are characterized. We deduce that these spaces are complete Aronszajn and that every metrizable space admitting a left Kโ€sequentially complete quasiโ€metric is completely metrizable. We also characterize quasiโ€metric spaces having a quasiโ€metric left Kโ€sequential completion in terms of certain bases of countable order.

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