CELLULAR CATEGORIES AND STABLE INDEPENDENCE
DOI10.1017/jsl.2022.40zbMath1514.18006arXiv1904.05691OpenAlexW3010587541MaRDI QIDQ6103464
Jiří Rosický, Michael J. Lieberman, Sebastien Vasey
Publication date: 5 June 2023
Published in: The Journal of Symbolic Logic (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.05691
forkingabstract elementary classcellular categoriesroots of Extcofibrantly generatedstable independence
Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Classification theory, stability, and related concepts in model theory (03C45) Accessible and locally presentable categories (18C35) Properties of classes of models (03C52) Set-theoretic model theory (03C55) Abstract elementary classes and related topics (03C48)
Related Items
Cites Work
- Canonical forking in AECs
- Abstract elementary classes and accessible categories
- Purity in algebra
- A survey of basic stability theory, with particular emphasis on orthogonality and regular types
- Classification theory and the number of non-isomorphic models
- Covers induced by Ext
- Forking independence from the categorical point of view
- Flat covers and factorizations
- Relative homological algebra
- Cofibrant generation of pure monomorphisms
- Sizes and filtrations in accessible categories
- Cellular categories
- On a fat small object argument
- \(^{\perp}N\) as an abstract elementary class
- The intersection property of amalgamations
- ALL MODULES HAVE FLAT COVERS
- Accessible categories, saturation and categoricity
- Sheafifiable homotopy model categories
- A necessary and sufficient condition for induced model structures
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