等变良好开覆盖存在定理

杨海波; 杨海军; 明万元

杨海波, 杨海军, 明万元. 等变良好开覆盖存在定理[J]. 南昌航空大学学报(自然科学版), 2011, 25(4): 29-32,57.

引用本文:

杨海波, 杨海军, 明万元. 等变良好开覆盖存在定理[J]. 南昌航空大学学报(自然科学版), 2011, 25(4): 29-32,57.

YANG Hai-bo, YANG Hai-jun, MING Wan-yuan. The Existence Theorem of Equivariant Good Cover on a G-manifold[J]. Journal of nanchang hangkong university(Natural science edition), 2011, 25(4): 29-32,57.

Citation:

YANG Hai-bo, YANG Hai-jun, MING Wan-yuan. The Existence Theorem of Equivariant Good Cover on a G-manifold[J]. Journal of nanchang hangkong university(Natural science edition), 2011, 25(4): 29-32,57.

等变良好开覆盖存在定理

The Existence Theorem of Equivariant Good Cover on a G-manifold

摘要

摘要: 任意一个微分流形都有良好开覆盖.推广到等变范畴,证明了任意一个等变微分流形都存在等变良好开覆盖,且等变良好开覆盖集所组成的集合在全部开覆盖组成的集合中共尾。

Abstract: It is well known that each smooth manifold has a good open cover.We generalize this result to equivariant case by showing that each equivariant smooth manifold has an equivariant good cover,and the equivariant good covers are cofinal in the set of open covers.

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