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Symmetric products of Erdős space and complete Erdős space

2020/08/13 by Alfredo Zaragoza
Computer Science · Decision Sciences · Mathematics · #Advanced Topology and Set Theory #Combinatorics #Computer science #Constraint Satisfaction and Optimization #Discrete mathematics #Fuzzy and Soft Set Theory #Hyperspace #Mathematical analysis #Mathematics #Polish space #Pure mathematics #Space (punctuation) #Topology (electrical circuits) #math.GN #msc:54A10 #msc:54B20 #msc:54E50 #msc:54F50 #msc:54F65

paper · pdf · doi:10.1016/j.topol.2020.107355

published as Topology and its Applications 284 (2020) 107355

openalex publication_date 2020/08/13 · openalex created_date 2020/08/21 · arxiv created 2020/11/10 · arxiv updated 2020/11/12 · openalex updated_date 2026/08/05

Abstract

It is shown that the symmetric products of complete Erdős space and Erdős space are homeomorphic to complete Erdős space and Erdős space, respectively. We will also give some properties of their hyperspace of compact subsets with the Vietoris topology.

Citations