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October 3, 2025Open Access

Partializations of Markov categories

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The construction preserves important properties like positivity and conditionals, enhancing understanding of probabilities in categorical settings.
Primary examples include the partialization of the category of standard Borel spaces and Markov kernels, indicating broader applications.
The concept generalizes earlier models of categories of partial morphisms, expanding potential uses in varied mathematical frameworks.
Alternative notions of Kolmogorov products and discussions on partial algebras for probability monads further deepen the theoretical insights.

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This work develops a CD category of partial kernels from partializable Markov categories, suggesting new directions for categorical probability.

Abubakar Sani-Mohammed (2025) studied this question.

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This work develops a CD category of partial kernels from partializable Markov categories, suggesting new directions for categorical probability.