Causal Markov Category with Kolmogorov Products
Analysis
Key Takeaways
- •Provides a concrete example of a causal Markov category with Kolmogorov products.
- •The deterministic subcategory is the category of Stone spaces.
- •The kernels are related to Kleisli arrows for the Radon monad.
- •Explores the problem from two perspectives: pro-completions/Stone spaces and duality with Boolean algebras/effect algebras.
“The paper provides an example where the deterministic subcategory is the category of Stone spaces and the kernels correspond to a restricted class of Kleisli arrows for the Radon monad.”