COMPLETENESS OF METRIZABLE PRE-IMAGES OF VAN DOUWEN-COMPLETE SPACES

被引：1

作者：

TSUDA, K

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 08期

关键词：

COMPLETE METRIC SPACE; CLOSED MAP; IRREDUCIBLE MAP; CECH-COMPLETENESS; UNIVERSAL SPACE;

D O I：

10.2307/2161295

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We shall show the recurrence of complete metrizability of irreducible closed pre-images of van Douwen-complete spaces. As its corollary we shall show that every van Douwen-complete space is G(delta) in any Lasnev space.

引用

页码：2601 / 2606

页数：6

共 5 条

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CAIN, GL
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1981, 24 (02): : 177 - 180
[2] PERFECT PRE-IMAGES OF COLLECTIONWISE NORMAL SPACES
DANIELS, P
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 97 (01) : 177 - 183
[3] ON THETA-PERFECT IRREDUCIBLE PRE-IMAGES OF HAUSDORFF SPACES
STRECOLOVSKAYA, NS
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1980, (05): : 54 - 57
[4] ON ZERO-DIMENSIONAL PRE-IMAGES OF COMPACT HAUSDORFF SPACES WITH THE 1ST AXIOM OF COUNTABILITY
IVANOV, AV
RUSSIAN MATHEMATICAL SURVEYS, 1980, 35 (06) : 95 - 96
[5] Extensions of the ring of continuous functions generated by regular, countably-divisible, complete rings of quotients, and their corresponding pre-images
Zakharov, VK
IZVESTIYA MATHEMATICS, 1995, 59 (04) : 677 - 720

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