Hereditary D-property of function spaces over compacta

被引：23

作者：

Buzyakova, RZ ^{[1
]}

机构：

[1] CUNY Brooklyn Coll, Dept Math, Brooklyn, NY 11210 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 132卷 / 11期

关键词：

C-p(X); D-space;

D O I：

10.1090/S0002-9939-04-07472-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that if X is compact then every subspace of C-p(X) is a D-space in the sense of E. van Douwen, which positively answers Matveev's question. A connection between the D-property and Baturov's and Grothendieck's classical theorems about function spaces over compacta is established.

引用

页码：3433 / 3439

页数：7

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