Compactness of $\omega^\lambda$ for $\lambda$ singular

IF 0.3 Q4 LOGIC

Journal of Logic and Analysis Pub Date : 2013-04-01 DOI:10.4115/jla.v6i0.205

P. Lipparini

引用次数: 1

Abstract

We characterize the compactness properties of the product of λ copies of the space ω with the discrete topology, dealing in particular with the case λ singular, using regular and uniform ultrafilters, infinitary languages and nonstandard elements. We also deal with products of uncountable regular cardinals with the order topology.

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$\omega^\lambda$对于$\lambda$奇异的紧致性

我们利用正则和一致超滤波器、无穷语言和非标准元，刻画了空间ω的λ拷贝与离散拓扑的乘积的紧性，特别是处理了λ奇异的情况。我们也用序拓扑处理不可数正则基数的乘积。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Logic and Analysis LOGIC-

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

35 weeks

期刊介绍： "Journal of Logic and Analysis" publishes papers of high quality involving interaction between ideas or techniques from mathematical logic and other areas of mathematics (especially - but not limited to - pure and applied analysis). The journal welcomes papers in nonstandard analysis and related areas of applied model theory; papers involving interplay between mathematics and logic (including foundational aspects of such interplay); mathematical papers using or developing analytical methods having connections to any area of mathematical logic. "Journal of Logic and Analysis" is intended to be a natural home for papers with an essential interaction between mathematical logic and other areas of mathematics, rather than for papers purely in logic or analysis.