3 papers
math.CT2024
Insights From Univalent Foundations: A Case Study Using Double Categories
Nima Rasekh, Niels van der Weide, Benedikt Ahrens +1
Category theory unifies mathematical concepts, aiding comparisons across structures by incorporating objects and morphisms, which capture their interactions. It has influenced area…
cs.LO2024
Univalent Enriched Categories and the Enriched Rezk Completion
Niels van der Weide
Enriched categories are categories whose sets of morphisms are enriched with extra structure. Such categories play a prominent role in the study of higher categories, homotopy theo…
math.CT2023
Univalent Double Categories
Niels van der Weide, Nima Rasekh, Benedikt Ahrens +1
Category theory is a branch of mathematics that provides a formal framework for understanding the relationship between mathematical structures. To this end, a category not only inc…