On the Preservation of Projective Limits by Functors of Non-Deterministic, Probabilistic, and Mixed Choice
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909385202073600 |
|---|---|
| author | Goubault-Larrecq, Jean |
| author_facet | Goubault-Larrecq, Jean |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10235 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Preservation of Projective Limits by Functors of Non-Deterministic, Probabilistic, and Mixed Choice Goubault-Larrecq, Jean General Topology 54F17, 54B20, 46E27 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. |
| title | On the Preservation of Projective Limits by Functors of Non-Deterministic, Probabilistic, and Mixed Choice |
| topic | General Topology 54F17, 54B20, 46E27 |
| url | https://arxiv.org/abs/2407.10235 |