The product of Lindelöf groups and \mathbb R-factorizability

2023/03/11 by Evgeny Reznichenko, Reznichenko, Evgeny
Computer Science · Mathematics · #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #General Topology (math.GN) #Group Theory (math.GR) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2303.06369

openalex publication_date 2023/03/11 · openalex created_date 2023/03/16 · openalex updated_date 2026/07/28

Abstract

Lindelöf topological groups G₁ , H₁, G₂, H₂ are constructed in such a way that the products of G₁ × H₁ and G₂ × H₂ are not \mathbb R-factorizable groups and (1) the group G₁ × H₁ is not pseudo-ℵ₁-compact; (2) the group G₂ × H₂ is a separable not normal group and contains a discrete closed subset of the cardinality continuum.

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