
TL;DR
This paper characterizes Yoneda completeness in non-symmetric distances by combining metric and directed completeness, extending existing theorems to a broader context.
Contribution
It introduces a new characterization of Yoneda completeness that unifies metric and directed completeness, generalizing the Kostanek-Waszkiewicz theorem.
Findings
Yoneda completeness characterized for non-symmetric distances
Extension of Kostanek-Waszkiewicz theorem on formal balls
Unified framework for metric and directed completeness
Abstract
We characterize Yoneda completeness for non-symmetric distances by combinations of metric and directed completeness. One of these generalizes the Kostanek-Waszkiewicz theorem on formal balls.
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