We investigate the class of continuous images of non-commutative Valdivia compact spaces, in particular its subclass of weakly non-commutative Corson 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.
On the class of continuous images of non-commutative Valdivia compacta / J. Somaglia. - In: TOPOLOGY AND ITS APPLICATIONS. - ISSN 0166-8641. - 210(2016), pp. 147-167. [10.1016/j.topol.2016.07.012]
On the class of continuous images of non-commutative Valdivia compacta
J. SomagliaPrimo
2016
Abstract
We investigate the class of continuous images of non-commutative Valdivia compact spaces, in particular its subclass of weakly non-commutative Corson 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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