Non-canonical isomorphisms

@article{Lack2009NoncanonicalI,
  title={Non-canonical isomorphisms},
  author={Stephen Lack},
  journal={Journal of Pure and Applied Algebra},
  year={2009},
  volume={216},
  pages={593-597}
}
  • S. Lack
  • Published 10 December 2009
  • Mathematics
  • Journal of Pure and Applied Algebra
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10 Citations
Highly Influential Citations
3
Background Citations
6
Methods Citations
1

10 Citations

Pseudoalgebras and Non-canonical Isomorphisms

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.

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Homological Algebra of Heyting modules.

The collection of open sets of a topological space forms a Heyting algebra, which leads to the idea of a Heyting algebra as a generalized topological space. In fact, a sober topological space may be…

ON BIPRODUCTS AND TERMINAL COALGEBRAS

Categories with countable biproducts are models of the partially additive categories introduced by Manes and Arbib ([3]) as an algebraic semantics for programming languages. They have been also shown…

The groupoid of finite sets is biinitial in the 2-category of rig categories

Pseudoalgebras and Non-canonical Isomorphisms

Given a pseudomonad T\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek}…

Endomorphisms of the symmetric 2-rig of finite sets

Let $\widehat{\mathbb{F}\mathbb{S}et}$ be the groupoid of finite sets and bijections between them equipped with the canonical symmetric rig category structure given by the disjoint union and the…

Semi-localizations of semi-abelian categories

References

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Introduction to extensive and distributive categories

Limit Preservation from Naturality

Introduction to distributive categories

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This paper describes a series of embedding theorems, which show that any distributive category has a full faithful embedding into a recognizable distributivecategory, and which can be "solidified" faithfully to produce an extensive distributive categories.

On braided tensor categories

We investigate invertible elements and gradings in braided tensor categories. This leads us to the definition of theta-, product-, subgrading and orbitcategories in order to construct new families of…