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On the class of continuous images of non-commutative Valdivia compacta

2016/03/11 by Jacopo Somaglia, Somaglia, Jacopo
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA) #General Topology (math.GN) #math.FA #math.GN

paper · pdf · doi:10.48550/arxiv.1603.03661

arxiv created 2016/03/11 · openalex publication_date 2016/03/11 · arxiv updated 2016/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the class of continuous images of non-commutative Valdivia compact spaces, in particular its subclass of weakly non-commutative Cor- son countably compact spaces. A key tool is the study of non-commutative Corson countably compact spaces and their stability. The results are the non- commutative version of results by O. Kalenda (2003). Moreover, we present a study of retractional skeletons on Aleksandrov duplicates of ordinal spaces.

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