2016/12/28 by Andrzej Kucharski, Sławomir Turek, Kucharski, Andrzej +1
Decision Sciences · Mathematics · #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN) #Primary: 54B35 #Secondary:54D35 #math.GN #msc:54B35
paper · pdf · doi:10.48550/arxiv.1612.08838
openalex publication_date 2016/12/28 · arxiv created 2019/06/24 · arxiv updated 2019/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce a new class of \varkappa-metrizable spaces, namely countably \varkappa-metrizable spaces. We show that the class of all \varkappa-metrizable spaces is a proper subclass of counably \varkappa-metrizable spaces. On the other hand, for pseudocompact spaces the new class coincides with \varkappa-metrizable spaces. We prove a generalization of a Chigogidze result that the Čech-Stone compactification of a pseudocompact countably \varkappa-metrizable space is \varkappa-metrizable.