Overview
Learn about structured and decorated cospans through the lens of double category theory in this 32-minute lecture presented at the Topos Institute. Explore key concepts in category theory including open systems modeling, double categories, national transformations, and cocartesian examples. Delve into structured cospans, cartesian and coartesian double categories, and examine the Groton deconstruction through a double categorical perspective. Master fundamental mathematical concepts that bridge category theory with practical applications in systems modeling.
Syllabus
Introduction
Modeling Open Systems
Category Theory
Buy Category
Double Category
Double Category Theory
Double Category Objects
National Transformations
Cocartesian Double Category
Cocartesian Example
Structured Cospans
Coartesian Double Category
Cartesian Double Category
Decorated Cospans
The Groton Deconstruction
Double Categorical Deconstruction
Wrapup
Taught by
Topos Institute