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Abstract: Let R denote the smallest class of compact spaces containing all metriccompacta and closed under limits of continuous inverse sequences ofretractions. Class R is striclty larger than the class of Valdivia compactspaces. We show that every compact connected Abelian group which is atopological retract of a space from class R is necessarily isomorphic to aproduct of metric groups. This completes the result of V. Uspenskij and theauthor, where a compact connected Abelian group outside class R has beendescribed.



Author: Wieslaw Kubiś

Source: https://arxiv.org/







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