n.sheaf 的复数

原形：sheaf复数：sheaves

In algebraic geometry, a sheaf is a tool for assigning mathematical objects, like rings or modules, to open sets in a topological space.
在代数几何中，层是一种工具，用于将数学对象（如环或模）分配给拓扑空间中的开集。
The notion of a sheaf is central to the study of cohomology in mathematics.
层的概念在数学中的上同调理论研究中是核心的。
A sheaf of functions on a manifold allows us to define smooth structures locally and patch them together consistently.
曲面上的函数层允许我们局部定义光滑结构，并一致地将它们拼接起来。
The sheaf of differential forms on a smooth manifold provides a way to study its geometric properties.
平滑流形上的微分形式层提供了研究其几何性质的方法。
In complex analysis, the sheaf of holomorphic functions captures the essence of analytic continuation.
在复分析中，全纯函数层抓住了解析延拓的本质。
A sheaf of ideals in algebraic geometry represents a subscheme of the underlying variety.
代数几何中的理想层代表了基础变种的一个子方案。
The étale cohomology of a sheaf is a powerful invariant in number theory.
层的étale上同调是数论中的一个强大不变量。
Sheaves are also used in theoretical physics, particularly in gauge theories, to describe local fields and their transformations.
层也在理论物理学中使用，特别是在规范理论中，用来描述局部场及其变换。
The sheaf of sections of a vector bundle encodes information about the bundle's topology.
向量丛的截面层编码了关于丛拓扑的信息。
In topos theory, a sheaf is seen as a generalization of a set-valued functor on a category.
在范畴论的topos理论中，层被视为值在集合上的函子的一般化。