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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Bibliographic Details
Date:2017
Main Authors: Safonova, O. V., Сафонова, О. В.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2017
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/116
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine