Основні поняття
Several proposed methods for explicitly constructing resolutions of unbounded complexes fail in general, highlighting the necessity of Roos' (Ab.4˚)-k axiom for such constructions to hold.
Цитати
"We show that various methods for explicitly building resolutions of unbounded complexes in fact fail when applied to a rather simple and explicit complex."
"We show that one way to rescue these methods is to assume Roos (Ab.4˚)-k axiom, which we adapt to encompass also resolutions in the framework of relative homological algebra."