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Subjects
18-XX Category theory; homological algebra
18Gxx Homological algebra
18G55 Homotopical algebra

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Displaying 1 – 9 of 9

Heller's axioms for homotopy theory

Jerome William Hoffman (1996)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Higher-dimensional categories with finite derivation type.

Guiraud, Yves, Malbos, Philippe (2009)

Theory and Applications of Categories [electronic only]

Homotopies of small categories

Marek Golasiński (1981)

Fundamenta Mathematicae

Homotopy cofibrations in $C A T$

Murray Heggie (1992)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Homotopy colimits in presheaf categories

Murray Heggie (1993)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Homotopy equivalence of isospectral graphs.

Bisson, Terrence, Tsemo, Aristide (2011)

The New York Journal of Mathematics [electronic only]

Homotopy groups of small categories and derived functors

Marek Golasiński (1987)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Homotopy-theoretic aspects of 2-monads.

Lack, S. (2007)

Journal of Homotopy and Related Structures

How to construct a Hovey triple from two cotorsion pairs

James Gillespie (2015)

Fundamenta Mathematicae

Let be an abelian category, or more generally a weakly idempotent complete exact category, and suppose we have two complete hereditary cotorsion pairs $(, \tilde{})$ and $(\tilde{},)$ in satisfying $\tilde{} \subseteq$ and $\cap \tilde{} = \tilde{} \cap$ . We show how to construct a (necessarily unique) abelian model structure on with (resp. $\tilde{}$ ) as the class of cofibrant (resp. trivially cofibrant) objects, and (resp. $\tilde{}$ ) as the class of fibrant (resp. trivially fibrant) objects.

Currently displaying 1 – 9 of 9

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