2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/221121We study complexes of finite complete intersection dimension in the derived category of a local ring. Given such a complex, we prove that the thick subcategory it generates contains complexes of all possible complexities. In particular, we show that such a complex is virtually small, answering a question raised by Dwyer, Greenlees and Iyengar.5 pagesCommutative AlgebraK-Theory and Homology13D25, 18E30, 18G10text