THE POWER SUBSTITUTION FOR RINGS OF COMPLEX AND REAL FUNCTIONS ON COMPACT METRIC-SPACES

被引：2

作者：

DRANISHNIKOV, AN ^{[1
]}

机构：

[1] CORNELL UNIV,DEPT MATH,ITHACA,NY 14853

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 09期

关键词：

D O I：

10.2307/2160592

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The weak power substitution property for rings of matrices over the ring of functions on a compact metric space X is given in terms of cohomological dimension. A compactum with the ring of complex functions C(X) having the following property is constructed: the units of C(X) are not dense in C(X) and they are dense among squares.

引用

页码：2887 / 2893

页数：7

共 50 条

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CURTIN, E
AMERICAN MATHEMATICAL MONTHLY, 1991, 98 (07): : 663 - 665
[2] HOMEOMORPHISMS OF COMPACT METRIC-SPACES
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[4] METRIC-SPACES OF SEMICONTINUOUS FUNCTIONS
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[10] EXPANDING MAPS ON COMPACT METRIC-SPACES
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