On countable- to-one B-measurable mappings

This paper considers countable-to-one B-measurable mappings of complete separable zero-dimensional uncountable spaces. It is proved that if a set ofthe first category of the space is excluded there exists a dense set of points of local homeomorphism on the remaining set.

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Bibliographische Detailangaben
Datum:2017
Hauptverfasser: Safonova, O. V., Сафонова, О. В.
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Інститут математики НАН України 2017
Online Zugang:https://trim.imath.kiev.ua/index.php/trim/article/view/116
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Назва журналу:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine