On the completion monad via the Yoneda embedding in quasi-uniform spaces☆

On the completion monad via the Yoneda embedding in quasi-uniform spaces☆
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DOI:
10.1016/j.topol.2011.01.026
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发表时间:
2011-11
影响因子:
0.6
通讯作者:
M. M. Clementino-M.;Dirk Hofmann
M. M. Clementino-M.;Dirk Hofmann
中科院分区:
数学4区
文献类型:
--
作者:
M. M. Clementino-M.;Dirk Hofmann

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Making use of the presentation of quasi-uniform spaces as generalised enriched categories, and employing in particular the calculus of modules, we define the Yoneda embedding, prove a (weak) Yoneda Lemma, and apply them to describe the Cauchy completion monad for quasi-uniform spaces.