Characters on C(X)

被引：1

作者：

Boulabiar, Karim ^{[1
]}

机构：

[1] Tunis El Manar Univ, Fac Math Phys & Nat Sci Tunis, Res Lab Algebra Topol Arithmet & Order, El Manar 2092, Tunisia

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2015年 / 58卷 / 01期

关键词：

characters; realcompact; evaluation; real-valued continuous functions; HOMOMORPHISMS;

D O I：

10.4153/CMB-2014-024-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The precise condition on a completely regular space X for every character on C(X) to be an evaluation at some point in X is that X be realcompact. Usually, this classical result is obtained by relying heavily on involved (and even nonconstructive) extension arguments. This note provides a direct proof that is accessible to a large audience.

引用

页码：7 / 8

页数：2

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