Separate continuity, joint continuity and the Lindelof property

被引：9

作者：

Kenderov, PS ^{[1
]}

Moors, WB ^{[1
]}

机构：

[1] Univ Auckland, Dept Math, Auckland 1, New Zealand

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2006年 / 134卷 / 05期

关键词：

separate continuity; joint continuity; Lindelof property;

D O I：

10.1090/S0002-9939-05-08499-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove a theorem more general than the following. Suppose that X is Lindelof and alpha-favourable and Y is Lindelof and. Cechcomplete. Then for each separately continuous function f : X x Y -> R there exists a residual set R in X such that f is jointly continuous at each point of R x Y.

引用

页码：1503 / 1512

页数：10

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