Subsheaf

Translation of "subsheaf" into Russian

subsheaf

Noun

/ˈsʌbʃiːf/

/ˈsʌbʃif/

subsheaf

subsheaves pl

подпучок

The subsheaf is a crucial concept in sheaf theory.

Подпучок является ключевым понятием в теории пучков.

Definitions

subsheaf

Noun

/ˈsʌbʃiːf/

/ˈsʌbʃif/

A sheaf F′ equipped with an injective morphism into another sheaf F on the same topological space; equivalently, an assignment U ↦ F′(U) of subsets F′(U) ⊆ F(U) for every open set U that is closed under the restriction maps of F.

The subsheaf of holomorphic functions that vanish at a fixed point p helps define the ideal sheaf of p.

Translations
Definitions