Dissertations, Theses, and Capstone Projects
Date of Degree
6-2025
Document Type
Doctoral Dissertation
Degree Name
Doctor of Philosophy
Degree Level
Doctoral
Program
Mathematics
Advisor
John Terilla
Committee Members
Scott Wilson
Noson Yanofsky
Thomas Tradler
Subject Categories
Other Mathematics
Keywords
category theory
Abstract
We describe a novel closed monoidal structure on the nucleus of a profunctor enriched over a posetal category, a distinguished subcategory of the category of presheaves given by the invariant part of an adjunction induced by the profunctor. Our structure is motivated by a connection to a notion of type given by orthogonality. For specific examples, we consider the two-element enriching category {0,1} and the reals.
Recommended Citation
Jarvis, Samantha K., "A Novel Closed Monoidal Structure on the Nucleus of a Profunctor" (2025). CUNY Academic Works.
https://academicworks.cuny.edu/gc_etds/6231
