2023/10/29 by Valentin Gutev, Gutev, Valentin
Computer Science · Mathematics · #05C20 #05C21 #54C20 #54C65 #54D15 #54D45 #54D55 #54F05 #54F45 #54F65 #54G05 #54G12 #Advanced Algebra and Logic #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Logic, Reasoning, and Knowledge #Primary 54B20 #Secondary 54D20
paper · pdf · doi:10.48550/arxiv.2310.19085
openalex publication_date 2023/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In 1951, Ernest Michael wrote a definitive seminal article on hyperspaces raising a general question that became known as the hyperspace selection problem. The present paper contains some aspects of this problem, along with several open questions. Most of these considerations and questions are related to the usual map extension problem, but now in the setting of hyperspaces and hyperspace selections.