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- W2438143165 abstract "We prove a biadjoint triangle theorem and its strict version, which are 2-dimensional analogues of the adjoint triangle theorem of Dubuc. Similarly to the 1-dimensional case, we demonstrate how we can apply our results to get the pseu- domonadicity characterization (due to Le Creurer, Marmolejo and Vitale). Furthermore, we study applications of our main theorems in the context of the 2-monadic approach to coherence. As a direct consequence of our strict biadjoint triangle theorem, we give the construction (due to Lack) of the left 2-adjoint to the inclusion of the strict algebras into the pseudoalgebras. In the last section, we give two brief applications on lifting biadjunctions and pseudo-Kan extensions." @default.
- W2438143165 created "2016-06-24" @default.
- W2438143165 creator A5037758905 @default.
- W2438143165 date "2016-06-15" @default.
- W2438143165 modified "2023-09-27" @default.
- W2438143165 title "ON BIADJOINT TRIANGLES" @default.
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