Scattered $P$-spaces of weight $\omega_1$

Wojciech Bielas; Andrzej Kucharski; Szymon Plewik

Scattered $P$-spaces of weight $\omega_1$

General Topology 2022-12-01 v1

Authors: Wojciech Bielas , Andrzej Kucharski , Szymon Plewik

Abstract

We examine dimensional types of scattered $P$ -spaces of weight $\omega_1$ . Such spaces can be embedded into $\omega_2$ . There are established similarities between dimensional types of scattered separable metric spaces and dimensional types of $P$ -spaces of weight $\omega_1$ with Cantor--Bendixson rank less than $\omega_1$ .

Keywords

scattered P-spaces weight omega_1 dimensional types cantor-bendixson rank separable metric spaces

Cite

@article{arxiv.2211.17112,
  title  = {Scattered $P$-spaces of weight $\omega_1$},
  author = {Wojciech Bielas and Andrzej Kucharski and Szymon Plewik},
  journal= {arXiv preprint arXiv:2211.17112},
  year   = {2022}
}

Scattered $P$-spaces of weight $\omega_1$

Abstract

Keywords

Cite

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