Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/14895
Title: | Exponential Kleisli monoids as Eilenberg-Moore algebras |
Author: | Hofmann, Dirk Mynard, Frédéric Seal, Gavin J. |
Keywords: | Exponentiable object Monad Monoidal category Topological category |
Issue Date: | 2015 |
Publisher: | Springer Verlag |
Abstract: | Lax monoidal powerset-enriched monads yield a monoidal structure on the category of monoids in the Kleisli category of a monad. Exponentiable objects in this category are identified as those Kleisli monoids with algebraic structure. This result generalizes the classical identification of exponentiable topological spaces as those whose lattice of open subsets forms a continuous lattice. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/14895 |
DOI: | 10.1007/s10485-013-9328-5 |
ISSN: | 0927-2852 |
Appears in Collections: | CIDMA - Artigos AGG - Artigos DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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ExponentiableMonoids.pdf | article | 338.17 kB | Adobe PDF | View/Open |
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