Yoneda Completion via a DCPO Completion of its Poset of Formal Balls
Author(s) -
Kok Min Ng,
Weng Kin Ho
Publication year - 2017
Publication title -
electronic notes in theoretical computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.242
H-Index - 60
ISSN - 1571-0661
DOI - 10.1016/j.entcs.2017.08.009
Subject(s) - idempotence , mathematics , partially ordered set , completion (oil and gas wells) , algebra over a field , combinatorics , discrete mathematics , pure mathematics , petroleum engineering , engineering
In this paper, we demonstrate how an idempotent Yoneda completion of quasi-metric spaces can be obtained using the Kostanek-Waszkiewicz Theorem and the dcpo completion of their posets of formal balls. This fills a gap in the current literature concerning the lack of an idempotent Yoneda completion.
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