论文标题

部分可观测时空混沌系统的无模型预测

Pettis property for Polish inverse semigroups

论文作者

Arana, Karen, Perez, Jerson, Uzcategui, Carlos

论文摘要

我们研究了有关波兰逆半群的财产,类似于佩蒂斯的古典定理,涉及波兰群体。与波兰团体发生的情况相反,并非每个波兰逆向半群都有Pettis财产。我们介绍了n子集之间的所有部分双子群的对称逆半群I(n)的波兰逆次序列的几个例子。我们还研究了我们的示例是否满足自动连续性。

We study a property about Polish inverse semigroups similar to the classical theorem of Pettis about Polish groups. In contrast to what happens with Polish groups, not every Polish inverse semigroup have the Pettis property. We present several examples of Polish inverse subsemigroup of the symmetric inverse semigroup I(N) of all partial bijections between subsets of N. We also study whether our examples satisfy automatic continuity.

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