activity
20162021
most citedStructured versus Decorated Cospans

15 citations · 48 across the 5 of their papers we have counts for

collaborators

6 papers

math.CT2021★ 15 cited

Structured versus Decorated Cospans

John C. Baez, Kenny Courser, Christina Vasilakopoulou

One goal of applied category theory is to understand open systems. We compare two ways of describing open systems as cospans equipped with extra data. First, given a functor $L \co…

math.CT2020★ 9 cited

Open Systems: A Double Categorical Perspective

Kenny Courser

Fong developed `decorated cospans' to model various kinds of open systems: that is, systems with inputs and outputs. In this framework, open systems are seen as the morphisms of a…

math.CT2019★ 6 cited

Structured Cospans

John C. Baez, Kenny Courser

One goal of applied category theory is to better understand networks appearing throughout science and engineering. Here we introduce "structured cospans" as a way to study networks…

math-ph2017★ 7 cited

Coarse-Graining Open Markov Processes

John C. Baez, Kenny Courser

Coarse-graining is a standard method of extracting a simple Markov process from a more complicated one by identifying states. Here we extend coarse-graining to open Markov processe…

math.CT2017

Spans of cospans in a topos

Daniel Cicala, Kenny Courser

For a topos , there is a bicategory whose objects are those of , morphisms are cospans in , and 2-morphisms are isomo…

math.CT2016★ 11 cited

A bicategory of decorated cospans

Kenny Courser

If is a category with pullbacks then there is a bicategory with the same objects as , spans as morphisms, and maps of spans as 2-morphisms, as shown by Ben…