Infinite-dimensional manifolds related to C-spaces

Haver's property C turns out to be related to Borst's transfinite extension of the covering dimension. We prove that, for a uncountably many countable ordinals β there exists a strongly universal kω-space for the class of spaces of transfinite covering dimension <β. In some sense, our r...

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Bibliographic Details
Main Authors: Mykhailo Zarichnyi, Oryslava Polivoda
Format: Article
Language:Russian
Published: Odessa National Academy of Food Technologies 2020-12-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Online Access:https://journals.onaft.edu.ua/index.php/geometry/article/view/1856