Adjoining countable infinite tensor products to FinStoch yields exactly the category of locally constant Markov kernels on finite sets plus the Cantor space, and lifts the complete axiomatisation of binary stochastic matrices to this continuous setting.
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Approaching the Continuous from the Discrete: an Infinite Tensor Product Construction
Adjoining countable infinite tensor products to FinStoch yields exactly the category of locally constant Markov kernels on finite sets plus the Cantor space, and lifts the complete axiomatisation of binary stochastic matrices to this continuous setting.