7 citations · 19 across the 6 of their papers we have counts for
6 papers
Enrichments over symmetric Picard categories
V. Schmitt
Categorical rings were introduced by Jibladze and Pirashvili in their paper "Third Mac Lane cohomology via categorical rings", Journal of Homotopy and related structures, 2, 2007,…
Tensor product for symmetric monoidal categories
Vincent Schmitt
We introduce a tensor product for symmetric monoidal categories with the following properties. Let SMC denote the 2-category with objects small symmetric monoidal categories, arrow…
Flatness, preorders and general metric spaces (revised)
Vincent Schmitt
We use a generic notion of flatness in the enriched context to define various completions of metric spaces -- enrichments over [0,\infty] -- and preorders -- enrichments over 2. We…
Bisimulations of enrichments
Vincent Schmitt, Krzysztof Worytkiewicz
In this paper we show that classical notions from automata theory such as simulation and bisimulation can be lifted to the context of enriched categories. The usual properties of b…
Flatness, accessibility and metric spaces
Vincent Schmitt
This paper studies a notion of parameterized flatness in the enriched context: p-flatness where the parameter p stands for a class of presheaves. One obtains a completion of a cate…
Flatness, preorders and general metric spaces
Vincent Schmitt
This paper studies a general notion of flatness in the enriched context: P-flatness where the parameter P stands for a class of presheaves. One obtains a completion of a category A…