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...
| Main Authors: | , |
|---|---|
| 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 |
| Summary: | 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. |
|---|---|
| ISSN: | 2072-9812 2409-8906 |