Left  K ‐Completeness in Quasi‐Metric Spaces | Zendy

Romaguera Salvador | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Left K ‐Completeness in Quasi‐Metric Spaces

Author(s) -

Romaguera Salvador

Publication year - 1992

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.19921570103

Subject(s) - mathematics , metric space , metrization theorem , completeness (order theory) , countable set , injective metric space , convex metric space , metric (unit) , pure mathematics , space (punctuation) , discrete mathematics , separable space , mathematical analysis , linguistics , operations management , philosophy , economics

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

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research