55 citations · 64 across the 3 of their papers we have counts for
3 papers
math.AT2009
Faithfulness of a functor of Quillen
William G. Dwyer, Andrei Radulescu-Banu, Sebastian Thomas
There exists a canonical functor from the category of fibrant objects of a model category modulo cylinder homotopy to its homotopy category. We show that this functor is faithful u…
math.AT2006★ 9 cited
Cofibrance and Completion
Andrei Radulescu-Banu
For a cofibrantly generated Quillen model category, we show that the cofibrant replacement functor constructed using the small object argument admits a cotriple structure. If all a…
math.AT2006★ 55 cited
Cofibrations in Homotopy Theory
Andrei Radulescu-Banu
We define Anderson-Brown-Cisinski (ABC) cofibration categories, and construct homotopy colimits of diagrams of objects in ABC cofibration categories. Homotopy colimits for Quillen…