论文标题

$ c^\ infty $ ronged空间的差分表格

Differential forms on $C^\infty$-ringed spaces

论文作者

Lerman, Eugene

论文摘要

我们在本地的$ c^\ infty $ ronged空间上构建了一个差分形式的复合体。从西科斯基和$ c^\ infty $ -schemes的意义上讲,我们想到的两个主要空间是差分空间。就像在歧管的情况下一样,构建起作用。因此,可以通过简短的形式集成形式,并具有Stokes的定理。

We construct a complex of differential forms on a local $C^\infty$-ringed space. The two main classes of spaces we have in mind are differential spaces in the sense of Sikorski and $C^\infty$-schemes. Just as in the case of manifolds the construction is functorial. Consequently forms can be integrated over simplices and Stokes' theorem holds.

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