DIRECTIONAL LOWER POROSITY

Gareth Speight

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DIRECTIONAL LOWER POROSITY

机译：方向下孔隙度

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摘要

We investigate differences between upper and lower porosity. In finite dimensional Banach spaces every upper porous set is directionally upper porous. We show the situation is very different for lower porous sets; there exists a lower porous set in R~2 which is not even a countable union of directionally lower porous sets.

机译：我们调查上下孔隙率之间的差异。在有限维Banach空间中，每个上层多孔组在方向上都是上层多孔。我们表明，对于较低的多孔性，情况是非常不同的。在R〜2中存在一个较低的多孔组，它甚至不是方向性较低的多孔组的可数结合。

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来源
《Real analysis exchange》 |2014年第1期|45-55|共11页
作者
Gareth Speight;
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作者单位

Scuola Normale Superiore, Piazza Dei Cavalieri 7, 56126 Pisa, Italy;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Lower Porosity; Directed Porosity; Directionally Porous; Sigma Porous;

机译：孔隙率低;定向孔隙率;定向多孔;西格玛多孔;

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DIRECTIONAL LOWER POROSITY

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