IDEMPOTENT ULTRAFILTERS WITHOUT ZORN'S LEMMA

被引：4

作者：

Di Nasso, Mauro ^{[1
]}

Tachtsis, Eleftherios ^{[2
]}

机构：

[1] Univ Pisa, Dipartimento Matemat, I-56126 Pisa, Italy

[2] Univ Aegean, Dept Math, Karlovassi 83200, Samos, Greece

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 01期

关键词：

Algebra on beta N; idempotent ultrafilters; ultrafilter theorem; EXISTENCE; SETS;

D O I：

10.1090/proc/13719

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notion of additive filter and present a new proof of the existence of idempotent ultrafilters on N without using Zorn's Lemma in its entire power, and where one only assumes the Ultrafilter Theorem for the continuum.

引用

页码：397 / 411

页数：15

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