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pro vyhledávání: '"Mendes, Caio de Andrade"'
This work mainly concerns the -- here introduced -- category of $\mathscr Q$-sets and functional morphisms, where $\mathscr Q$ is a commutative semicartesian quantale. We describe, in detail, the limits and colimits of this complete and cocomplete ca
Externí odkaz:
http://arxiv.org/abs/2302.03123
This work is largely focused on extending D. Higgs' $\Omega$-sets to the context of quantales, following the broad program of U. H\"ohle, we explore the rich category of $\mathscr Q$-sets for strong, integral and commutative quantales, or other simil
Externí odkaz:
http://arxiv.org/abs/2302.03691
In this paper, we introduce a new definition of sheaves on semicartesian quantales, providing first examples and categorical properties. We note that our sheaves are similar to the standard definition of a sheaf on a locale, however, we prove in that
Externí odkaz:
http://arxiv.org/abs/2204.08351
Akademický článek
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We consider (finitary, propositional) logics through the original use of Category Theory: the study of the "sociology of mathematical objects", aligning us with a recent, and growing, trend of study logics through its relations with other logics (e.g
Externí odkaz:
http://arxiv.org/abs/1404.3780
We extend the classic definition of sheaves on locales introducing an original notion of sheaves on semicartesian quantales. We show that the resulting category and the category of sheaves on locales share similar categorical properties, and discuss
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f400aea53e347784a017883ed036ae2