The autohomeomorphism group of the Cech-Stone compactification of the integers

被引：7

作者：

Steprans, J ^{[1
]}

机构：

[1] York Univ, Dept Math, N York, ON M3J 1P3, Canada

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 355卷 / 10期

关键词：

D O I：

10.1090/S0002-9947-03-03329-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown to be consistent that there is a nontrivial autohomeomorphism of betaN\N, yet all such autohomeomorphisms are trivial on a dense P-ideal. Furthermore, the cardinality of the autohomeomorphism group of betaN\N can be any regular cardinal between 2(N0) and 2(2N0). The model used is one due to Velickovic in which, coincidentally, Martin's Axiom also holds.

引用

页码：4223 / 4240

页数：18

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