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arXiv · 2407.10235

On the Preservation of Projective Limits by Functors of Non-Deterministic, Probabilistic, and Mixed Choice

Jean Goubault-Larrecq
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Abstract

We examine conditions under which projective limits of topological spaces are preserved by the continuous valuation functor $\mathbf V$ and its subprobability and probability variants (used to represent probabilistic choice), by the Smyth hyperspace functor (demonic non-deterministic choice), by the Hoare hyperspace functor (angelic non-deterministic choice), by Heckmann's $\mathbf A$-valuation functor, by the quasi-lens functor, by the Plotkin hyperspace functor (erratic non-deterministic choice), and by prevision functors and powercone functors that implement mixtures of probabilistic and non-deterministic choice.

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Jean Goubault-Larrecq. 2024-11-12. On the Preservation of Projective Limits by Functors of Non-Deterministic, Probabilistic, and Mixed Choice. https://arxiv.org/abs/2407.10235

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