Scattered P-spaces of weight ω₁

2022/11/30 by Wojciech Bielas, Bielas, Wojciech, Andrzej A. Kucharski +3
Mathematics · #54F05 #54G10 #54G12 #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #General Topology (math.GN) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2211.17112

openalex publication_date 2022/11/30 · openalex created_date 2022/12/12 · openalex updated_date 2026/07/28

Abstract

We examine dimensional types of scattered P-spaces of weight ω₁. Such spaces can be embedded into ω₂. There are established similarities between dimensional types of scattered separable metric spaces and dimensional types of P-spaces of weight ω₁ with Cantor--Bendixson rank less than ω₁.

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