Infinite-dimensional manifolds related to C-spaces
| dc.contributor.author | Mykhailo Zarichnyi, Oryslava Polivoda | |
| dc.date.accessioned | 2021-03-04T13:57:02Z | |
| dc.date.available | 2021-03-04T13:57:02Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | 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 result is a kω-counterpart of Radul's theorem on existence of absorbing sets of given transfinite covering dimension. | |
| dc.identifier.issn | 2409-8906 | |
| dc.identifier.uri | https://card-file.ontu.edu.ua/handle/123456789/16674 | |
| dc.source | Proceedings of the International Geometry Center | |
| dc.title | Infinite-dimensional manifolds related to C-spaces |