A homeomorphism between strong measure zero sets whose graph is not of strong measure zero

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A homeomorphism between strong measure zero sets whose graph is not of strong measure zero

机译：图不是强测零的强测零集之间的同胚性

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摘要

Assuming Martin's axiom MA, we define a homeomorphism between two strong measure zero sets in the real line whose graph in not of strong measure zero in the plane. Using Michael's concentrated sets, we give also some refinements of this result, and we describe some singular subgroups of the group Z_N.

机译：假设马丁的公理MA，我们定义了实线中两个强测零集之间的同胚性，它们的图在平面中不是强测零。使用迈克尔的集中集，我们还对该结果进行了一些改进，并描述了Z_N组的一些奇异子组。

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来源
《Topology and its applications》 |2010年第8期|p.1506-1509|共4页
作者
Roman Pol;
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作者单位

University of Warsaw, Warsaw, Poland;

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原文格式 PDF
正文语种 eng
中图分类
关键词
strong measure zero; rothberger property; menger property;

机译：强措施零;罗斯伯格财产;门格尔物业;

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A homeomorphism between strong measure zero sets whose graph is not of strong measure zero

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