Triangulated categories with a single compact generator and two Brown representability theorems
arXiv:1804.02240
Abstract
We develop the general formalism of approximable triangulated categories, and prove two representability theorems.
Two old manuscripts, arXiv:1804.02240 and arXiv:1806.05777, were merged into one. Also: the new paper contains substantial improvements suggested by an anonymous referee, and updates on work done since the original manuscripts were posted