Applications of the Kleisli and Eilenberg-Moore 2-adjunctions
Juan L. L\'opez Hern\'andez, Luis J. Turcio Cuevas, Adri\'an, V\'azquez-M\'arquez
TL;DR
This paper explores the use of Kleisli and Eilenberg-Moore 2-adjunctions to establish category isomorphisms and structure bijections, advancing categorical understanding.
Contribution
It introduces new isomorphisms and bijections derived from Kleisli and Eilenberg-Moore 2-adjunctions, enhancing categorical theory tools.
Findings
Identified new category isomorphisms
Established bijections of categorical structures
Applied 2-adjunctions to categorical frameworks
Abstract
We collect some isomorphisms of categories and bijections of structures using the Kleisli and Eilenberg-Moore 2-adjunctions.
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