(WFRF:(Hamadeh R. R.))
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- Abbadini, Marco (author)
DUALITY FOR COALGEBRAS FOR VIETORIS AND MONADICITY
- Article/chapterEnglish2024
Publisher, publication year, extent ...
- 2024
- 2024
- printrdacarrier
Numbers
- LIBRIS-ID:oai:DiVA.org:su-228609
- https://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-228609URI
- https://doi.org/10.1017/jsl.2024.14DOI
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- Language:English
- Summary in:English
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- We prove that the opposite of the category of coalgebras for the Vietoris endofunctor on the category of compact Hausdorff spaces is monadic over $\mathsf {Set}$ . We deliver an analogous result for the upper, lower, and convex Vietoris endofunctors acting on the category of stably compact spaces. We provide axiomatizations of the associated (infinitary) varieties. This can be seen as a version of Jonsson-Tarski duality for modal algebras beyond the zero-dimensional setting.
Subject headings and genre
- NATURVETENSKAP Matematik Sannolikhetsteori och statistik hsv//swe
- NATURAL SCIENCES Mathematics Probability Theory and Statistics hsv//eng
- compact Hausdorff space
- stably compact space
- Vietoris functor
- coalgebra
- duality
- modal logic
- monadicity
- infinitary variety
Added entries (persons, corporate bodies, meetings, titles ...)
- Di Liberti, IvanStockholms universitet,Matematiska institutionen(Swepub:su)ivdi6368 (author)
- Stockholms universitetMatematiska institutionen (creator_code:org_t)
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- In:Journal of Symbolic Logic (JSL)0022-48121943-5886
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