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Informace o publikaci
Metric abstract elementary classes as accessible categories
Autoři | |
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Rok publikování | 2017 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | The Journal of Symbolic Logic |
Fakulta / Pracoviště MU | |
Citace | |
Doi | http://dx.doi.org/10.1017/jsl.2016.39 |
Obor | Obecná matematika |
Klíčová slova | metric abstract elementary class; accessible category; complete metric space |
Popis | We show that metric abstract elementary classes are coherent accessible categories with directed colimits, with concrete $\aleph_1$-directed colimits and concrete monomorphisms. More broadly, we define a notion of $\kappa$-concrete Abstract Elementary Class and develop the theory of such categories, beginning with a category-theoretic analogue of Shelah's Presentation Theorem and a proof of the existence of an Ehrenfeucht-Mostowski functor in case the category is large. |
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