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 10 条

[1] CAMPS R, 1993, POWER SUBSTITUTION P
[2] EXTENSION OF MAPPINGS INTO CW-COMPLEXES
DRANISHNIKOV, AN
[J]. MATHEMATICS OF THE USSR-SBORNIK, 1993, 74 (01): : 47 - 56
[3] HOMOLOGICAL DIMENSION THEORY
DRANISHNIKOV, AN
[J]. RUSSIAN MATHEMATICAL SURVEYS, 1988, 43 (04) : 11 - 63
[4] CANCELLATION OF LOW-RANK VECTOR-BUNDLES
GOODEARL, KR
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1984, 113 (02) : 289 - 302
[5] GOODEARL KR, 1976, PAC J MATH, V64, P387
[6] Hilton P, 1965, HOMOTOPY THEORY DUAL
[7] KUZMINOV VI, 1968, RUSS MATH SURV, V23, P1
[8] Leonid N., 1971, FUNCTIONAL ANAL APPL, V5, P102
[9] SULLIVAN D, 1970, GEOMETRIC TOPOLOGY 1
[10] WILLIAMS RF, 1963, T AM MATH SOC, V106, P319, DOI 10.2307/1993773

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