研究了几何测度空间中的基本对称函数μ0, μ1,..., μn和内蕴体积函数V0,V1,..., Vn,证明了Ln上连续不变赋值函数空间中由基本对称函数构成的基{μ0, μ1,..., μn}和由内蕴体积函数构成的基{V0,V1,..., Vn}(或均质积分构成的基{W0,W1,..., Wn})等价.
Abstract
In this paper, the elementary symmetric functions μ0, μ1,..., μn and the intrinsic volumes V0,V1,..., Vn are investigated. We show that the elementary symmetric function basis {μ0, μ1,..., μn} and the intrinsic volume basis {V0,V1,..., Vn} defined on Ln (also the quermassintegral basis {W0,W1,..., Wn}) are equivalent.
关键词
余挠 维数 /
整体维数 /
交叉积 /
Hopf代数
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Key words
cotorsion dimension /
global dimension /
crossed product /
Hopf algebra
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参考文献
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脚注
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基金
山东省自然科学基金资助项目(2012AL02);黑龙江省自然科学基金资助项目(A200906)
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