论文标题

(强)拓扑陀螺中的次最大特性

Submaximal properties in (strongly) topological gyrogroups

论文作者

Bao, Meng, Lin, Fucai

论文摘要

如果$ x $的任何密集子集打开,则空间$ x $是次最大的。在本文中,我们证明了非衡量基数的每个次最大拓扑陀螺仪都是强烈的$σ$ discrete。此外,我们证明每个不可衡量的基数强烈拓扑陀螺仪都是遗传性的。

A space $X$ is submaximal if any dense subset of $X$ is open. In this paper, we prove that every submaximal topological gyrogroup of non-measurable cardinality is strongly $σ$-discrete. Moreover, we prove that every submaximal strongly topological gyrogroup of non-measurable cardinality is hereditarily paracompact.

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