论文标题

逃脱的集合不是Sigma-Compact

Escaping sets are not sigma-compact

论文作者

Rempe, Lasse

论文摘要

令$ f $为整个功能。逃脱的集合$ i(f)$由$ f $的迭代中倾向于无限的积分组成。我们表明$ i(f)$不是$σ$ - compact,从2009年开始解决了里彭的问题。

Let $f$ be a transcendental entire function. The escaping set $I(f)$ consists of those points that tend to infinity under iteration of $f$. We show that $I(f)$ is not $σ$-compact, resolving a question of Rippon from 2009.

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