2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164352In order to apply nonstandard methods to questions of algebraic geometry we continue our investigation from "Enlargements of categories" (Theory Appl. Categ. 14 (2005), No. 16, 357--398) and show how important homotopical constructions behave under enlargements.15 pagesCategory TheoryLogic18A05, 03H05, 18G55text