Bulletin of the Belgian Mathematical Society - Simon Stevin

When are enriched strong monads double exponential monads?

Christopher Townsend

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Abstract

Some categorical conditions are given that are sufficient to show that an enriched monad with a strength is a double exponential monad. The conditions hold for the double power locale monad (enriched over posets) and so as an application it is shown that the double power locale monad is a double exponential monad. A benefit is that this result about the double power locale monad can be established without the need for any detailed discussion of frame presentations or topos theory.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 23, Number 2 (2016), 311-319.

Dates
First available in Project Euclid: 31 May 2016

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1464710120

Digital Object Identifier
doi:10.36045/bbms/1464710120

Mathematical Reviews number (MathSciNet)
MR3507084

Zentralblatt MATH identifier
1350.18014

Subjects
Primary: 06D22: Frames, locales {For topological questions see 54-XX} 18D 18D20: Enriched categories (over closed or monoidal categories)

Keywords
categorical double exponential frame locale

Citation

Townsend, Christopher. When are enriched strong monads double exponential monads?. Bull. Belg. Math. Soc. Simon Stevin 23 (2016), no. 2, 311--319. doi:10.36045/bbms/1464710120. https://projecteuclid.org/euclid.bbms/1464710120


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