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arxiv: 1603.03661 · v1 · pith:QLRKXTXXnew · submitted 2016-03-11 · 🧮 math.GN · math.FA

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

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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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