局部积分流空间之间的点内禀平坦距离
The pointed intrinsic flat distance between locally integral current spaces
摘要:
本文定义了两个点局部积分流空间之间的距离。我们证明了一个序列的局部积分当前空间收敛关于这个距离当且仅当它收敛的意义上的朗-温格。这使我们能够陈述的紧性定理朗-温格指出局部积分电流空间的距离函数。
英文摘要:
In this note we define a distance between two pointed locally integral current spaces. We prove that a sequence of pointed locally integral current spaces converges with respect to this distance if and only if it converges in the sense of Lang-Wenger. This enables us to state the compactness theorem by Lang-Wenger for pointed locally integral current spaces in terms of a distance function.
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