English
The finest Grothendieck topology on C for which all presheaves in Ps are sheaves is the infimum sInf of the image of Ps under the finest topology construction: finestTopology Ps = sInf (finestTopologySingle '' Ps).
Русский
Наилучшая (наибольшая) топология Гротендика на C, для которой все উপস্থিত_presheaves из Ps являютсяsheaves, есть инфимум sInf образа Ps в конструировании наилучшей топологии: finestTopology Ps = sInf (finestTopologySingle '' Ps).
LaTeX
$$$\\mathrm{finestTopology}(Ps)=\\mathrm{sInf} (\\mathrm{finestTopologySingle}'' Ps)$$$
Lean4
/-- Construct the finest (largest) Grothendieck topology for which all the given presheaves are
sheaves. -/
@[stacks 00Z9 "Equal to that Stacks construction"]
def finestTopology (Ps : Set (Cᵒᵖ ⥤ Type v)) : GrothendieckTopology C :=
sInf (finestTopologySingle '' Ps)
