nLab Seely isomorphism

Contents

Context

Foundations

foundations

The basis of it all

 Set theory

set theory

Foundational axioms

foundational axioms

Removing axioms

(0,1)(0,1)-Category theory

Monoidal categories

monoidal categories

With braiding

With duals for objects

With duals for morphisms

With traces

Closed structure

Special sorts of products

Semisimplicity

Morphisms

Internal monoids

Examples

Theorems

In higher category theory

Contents

Idea

In linear logic and its categorical models, the exponential modality verifies !(A&B)!A!B!(A \& B) \cong !A \otimes !B. This is called the Seely isomorphism, named after Robert Seely.

In sequent calculus

… to come …

In category theory

… to come …

Last revised on March 9, 2023 at 00:10:14. See the history of this page for a list of all contributions to it.