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Category Theory and Theory of Evolution

Lobachevskii Journal of Mathematics, 2023
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Lawvere's basic theory of the category of categories

Journal of Symbolic Logic, 1975
It is long known that Lawvere's theory in The category of categories as foundations of mathematics A[1] does not work, as indicated in Ishell's review [0]. Isbell there gives a counterexample that CDT—Category Description Theorem—[1, p. 15] is in fact not a theorem of BT (the Basic Theory of [1]) and suggests adding CDT to the axioms.Our starting point
Georges Blanc, Anne Preller
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The homotopy theory of dg-categories and derived Morita theory

Inventiones Mathematicae, 2006
Bertrand Toen
exaly  

Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories

Journal of Algebra, 2017
Leonid Positselski, Jiří Rosický
exaly  

Constructive Category Theory

2000
Gérard P. Huet, Amokrane Saïbi
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