An Example of a Compact Space of Uncountable Character for Which the Space exp_n(X)  X is Normal

A. V. Ivanov

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An Example of a Compact Space of Uncountable Character for Which the Space exp_n(X) X is Normal

机译：不可数字符紧致空间的一个示例，其中空间exp_n（X）X为正态

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Under Jensen's axiom, a compact space X of uncountable character such that the space exp_n(X) X is normal for each n is constructed. Thereby, it is proved that the Arkhangel'skii-Kombarov theorem on the countability of the character of a compact space whose square is normal outside the diagonal cannot be "naively" carried over to normal functors of finite degree.

机译：在詹森的公理下，构造了一个不可数字符的紧致空间X，使得每个n的空间exp_n（X）X是正常的。从而证明，关于正方形在对角线之外是法线的紧致空间的性质的可数性的Arkhangel'skii-Kombarov定理不能被“天真”地转移到有限度的正规函子上。

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来源
《Mathematical notes》 |2015年第2期|251-257|共7页
作者
A. V. Ivanov;
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作者单位

Petrozavodsk State University, Petrazovdsk, Russia;

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原文格式 PDF
正文语种 eng
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关键词
Katetov's theorem; square of a compact space; first-countable compact space; functor exp_n; Jensen's axiom; normal functor;

机译：卡捷托夫定理;紧凑空间的正方形;第一可数紧凑空间;函子exp_n;詹森公理;正常函子;

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2. On compact spaces carrying Radon measures of uncountable Maharam type [J] . D. H. Fremlin Fundamenta Mathematicae . 1997,第3期

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An Example of a Compact Space of Uncountable Character for Which the Space exp_n(X) X is Normal

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