Sheaves
Sheaves
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发表时间：
2018
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通讯作者：
Simplicial Presheaves
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作者：
Simplicial Presheaves
U穿过x的开放邻域图中超过极限的态射就是限制映射。因此，Fx是不相交并(U) F (U) （U穿过x的开放邻域）模取两个对x的某个邻域有相同限制的等价区域。如果s是F在x的某个开放邻域上的一个区域，则s在x处的根，记为sx，是s在Fx中的像。胚芽sx描述s ‘任意靠近x ’的行为。
where U runs through open neighborhoods of x and the morphisms in the diagram that the limit is over are the restriction maps. Thus, Fx is the disjoint union ⊔ U F (U) (U runs through open neighborhoods of x) modulo two sections being equivalent if they have the same restriction to some neighborhood of x. If s is a section of F over some open neighborhood of x, then the germ of s at x, denoted sx, is the image of s in Fx. The germ sx describes the behaviour of s ‘arbitrarily near to x’.