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arXiv · 2211.17112

Scattered $P$-spaces of weight $ω_1$

Wojciech Bielas·Andrzej Kucharski·Szymon Plewik
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Abstract

We examine dimensional types of scattered $P$-spaces of weight $ω_1$. Such spaces can be embedded into $ω_2$. There are established similarities between dimensional types of scattered separable metric spaces and dimensional types of $P$-spaces of weight $ω_1$ with Cantor--Bendixson rank less than $ω_1$.

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Wojciech Bielas, Andrzej Kucharski, Szymon Plewik. 2022-11-30. Scattered $P$-spaces of weight $ω_1$. https://arxiv.org/abs/2211.17112

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