Pseudoalgebras and non-canonical isomorphisms (Preprint)

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Type: Preprint
National /International: International
Title: Pseudoalgebras and non-canonical isomorphisms
Publication Date: 2017-11-07
Authors: - Fernando Lucatelli Nunes
Abstract: Given a pseudomonad T, we prove that a lax T-morphism between pseudoalgebras is a T-pseudomorphism if and only if there is a suitable (possibly non-canonical) invertible T-transformation. This result encompasses several results on non-canonical isomorphisms, including Lack's result on normal monoidal functors between braided monoidal categories, since it is applicable in any 2-category of pseudoalgebras, such as the 2-categories of monoidal categories, cocomplete categories, pseudofunctors and so on.
Institution: DMUC 17-44
Online version: http://www.mat.uc.pt...prints/eng_2017.html
Download: Not available
 
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