5 citations · 14 across the 13 of their papers we have counts for
7 papers · 1 filter
Displacements
Hugo V. Bacard
Given a functor and an object , we define a \emph{displacement} of along a morphism , as a map $e \rightarrow \na…
Pursuing Lax Diagrams and Enrichment
Hugo V. Bacard
This paper is part of a project that aims to give a homotopy cousin of Kelly's treatment of enriched category theory. After introducing unital co-Segal M-categories, we establish t…
Toward a strictification theorem for co-Segal categories
Hugo V. Bacard
We show that for a monoidal model category $\M=(\ul{M}, \otimes, I)$, certain co-Segal $\M$-categories are equivalent to strict ones.
A calculus on lax functors
Hugo V. Bacard
We verify that Kelly's constructions of the internal Hom for enriched categories extends naturally to lax functors taking their values in a symmetric monoidal category. Our motivat…
Colax Reedy diagrams
Hugo V. Bacard
We use a theory of colax Reedy diagrams to show that the category of Segal M-precategories with fixed set of objects has a model structure for a symmetric monoidal model category M…
Lax Diagrams and Enrichment
Hugo V. Bacard
We introduce a new type of weakly enriched categories over a given symmetric monoidal model category M; these are called Co-Segal categories. Their definition derives from the phil…
Segal Enriched Categories I
Hugo V. Bacard
We develop a theory of enriched categories over a (higher) category M equipped with a class W of morphisms called homotopy equivalences. We call them Segal M_W -categories. Our mot…