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- W3010587541 abstract "Abstract 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." @default.
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- W3010587541 date "2022-05-18" @default.
- W3010587541 modified "2023-10-17" @default.
- W3010587541 title "CELLULAR CATEGORIES AND STABLE INDEPENDENCE" @default.
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- W3010587541 doi "https://doi.org/10.1017/jsl.2022.40" @default.
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