Heller's axioms for homotopy theory
Higher-dimensional categories with finite derivation type.
Homotopies of small categories
Homotopy cofibrations in
Homotopy colimits in presheaf categories
Homotopy equivalence of isospectral graphs.
Homotopy groups of small categories and derived functors
Homotopy-theoretic aspects of 2-monads.
How to construct a Hovey triple from two cotorsion pairs
Let be an abelian category, or more generally a weakly idempotent complete exact category, and suppose we have two complete hereditary cotorsion pairs and in satisfying and . We show how to construct a (necessarily unique) abelian model structure on with (resp. ) as the class of cofibrant (resp. trivially cofibrant) objects, and (resp. ) as the class of fibrant (resp. trivially fibrant) objects.