Codensity Lifting of Monads and its Dual

We introduce a method to lift monads on the base category of a fibration to its total category. This method, which we call codensity lifting, is applicable to various fibrations which were not supported by its precursor, categorical TT-lifting. After introducing the codensity lifting, we illustrate...

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Bibliographic Details
Main Authors: Shin-ya Katsumata, Tetsuya Sato, Tarmo Uustalu
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2018-10-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/4899/pdf