QUASICONTINUITY AND NAMIOKA THEOREM

被引：14

作者：

HANSEL, G

TROALLIC, JP

机构：

[1] UNIV ROUEN HAUTE NORMANDIE,FAC SCI,CNRS,URA D1378,F-76134 MONT ST AIGNAN,FRANCE

[2] UNIV HAVRE,FAC SCI & TECH,CNRS,URA D1378,F-76600 LE HAVRE,FRANCE

来源：

TOPOLOGY AND ITS APPLICATIONS | 1992年 / 46卷 / 02期

关键词：

SEPARATE CONTINUITY; CONTINUITY; QUASICONTINUITY; FUNCTION SPACES; NAMIOKA THEOREM;

D O I：

10.1016/0166-8641(92)90129-N

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

First a simple proof of Namioka's theorem on separate and joint continuity is given. Then we show a multivariate Namioka's theorem whose all component spaces are countably Cech complete regular. The proof relies on a surprising result about the quasicontinuity of a separately continuous function.

引用

页码：135 / 149

页数：15

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