5 citations · 10 across the 12 of their papers we have counts for
12 papers
Remarks on cotorsion theories
Alexandru Stanculescu
We present some results from classical homological algebra using the language of cotorsion theories in abelian categories. The results are a couple of foundational facts about homo…
Stacks and sheaves of categories as fibrant objects
Alexandru E. Stanculescu
We show that the category of categories fibred over a site is a generalized Quillen model category in which the weak equivalences are the local equivalences and the fibrant objects…
On some new model category structures from old, on the same underlying category
Alexandru E. Stanculescu
We make a study of ll-extensions of model category structures. We prove an existence result of ll-extensions, present some specific and some rather formal results about them and gi…
On calculus of functors in model categories
Alexandru E. Stanculescu
We present an analysis of some constructions and arguments from the universe of T. G. Goodwillie's Calculus, in a general model theoretic setting.
Constructing model categories with prescribed fibrant objects
Alexandru E. Stanculescu
We present a weak form of a recognition principle for Quillen model categories due to J.H. Smith. We use it to put a model category structure on the category of small categories en…
Complements on enriched precategories
Alexandru E. Stanculescu
We make some remarks on the foundations of the homotopy theory of enriched precategories, as exposed in Carlos Simpson's book "Homotopy theory of higher categories".