An adjunction between Representations and preorder morphisms
RAMiCS
in Będlewo,
April 2026
The recently introduced model of representations has been defined and motivated somewhat ex- nihilo. In this talk, I will show that representations are related to a more “classical” model through a 2-adjunction. The target model is that of preorder morphisms, i.e. maps between sets equipped with reflexive and transitive relation that satisfy some natural preservation property.
The aim of this is two-fold: first, this provides in my opinion a further justification of rep- resentations, as an object in non-trivial yet tight connection to some natural constructs; and secondly it suggests some classical results1 about order preserving maps could have interesting consequences for representations.
Related talks | ||
|
RAMiCS
in Będlewo,
April 2026.
|
More | |
|
Séminaire du LACL
in Créteil,
September 2025
(in French)
.
|
More | |
|
Séminaire Plume
in Lyon,
June 2025.
|
More | |
|
Séminaire 68nqrt
in Rennes,
May 2025.
|
More | |
Related papers | ||
| A 2-adjunction between representations and preorder morphisms (2026) | More | |
| Representations (in RAMiCS 2026) | More | |
| On preorders (2025) | More | |