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

TL;DR

This paper explores the properties and stability of continuous images of non-commutative Valdivia compacta, extending classical results and analyzing retractional skeletons on specific topological spaces.

Contribution

It introduces the non-commutative analogues of Valdivia compacta and studies their continuous images and stability, extending Kalenda's results from 2003.

Findings

Characterization of non-commutative Valdivia compacta

Stability results for non-commutative Corson countably compact spaces

Analysis of retractional skeletons on Aleksandrov duplicates of ordinal spaces

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.