CELLULAR CATEGORIES AND STABLE INDEPENDENCE

Varování

Publikace nespadá pod Ekonomicko-správní fakultu, ale pod Přírodovědeckou fakultu. Oficiální stránka publikace je na webu muni.cz.

Autoři	LIEBERMAN Michael Joseph ROSICKÝ Jiří VASEY Sebastien
Rok publikování	2023
Druh	Článek v odborném periodiku
Časopis / Zdroj	Journal of Symbolic Logic
Fakulta / Pracoviště MU	Přírodovědecká fakulta
Citace
www	https://doi.org/10.1017/jsl.2022.40
Doi	http://dx.doi.org/10.1017/jsl.2022.40
Klíčová slova	cellular categories; forking; stable independence; abstract elementary class; cofibrantly generated; roots of Ext
Popis	We exhibit a bridge between the theory of cellular categories, used in algebraic topology and homological algebra, and the model-theoretic notion of stable independence. Roughly speaking, we show that the combinatorial cellular categories (those where, in a precise sense, the cellular morphisms are generated by a set) are exactly those that give rise to stable independence notions. We give two applications: on the one hand, we show that the abstract elementary classes of roots of Ext studied by Baldwin–Eklof–Trlifaj are stable and tame. On the other hand, we give a simpler proof (in a special case) that combinatorial categories are closed under 2-limits, a theorem of Makkai and Rosický.
Související projekty:	Injektivita a monády v algebře a topologii