Abstract
The paper proves (assuming the continuum hypothesis CH) that there exists a perfectly normal compact topological space Z and a countable set E ⊂ Z, such that Z\E is not condensed onto a compact. The existence of such a space answers (in CH) negatively to the question of V.I. Ponomareva: Is every perfectly normal compact an α-space? It is proved that in the class of ordered compacts the property of being an α-space is not multiplicative.
| Translated title of the contribution | On the problem of condensation onto compacta |
|---|---|
| Original language | Russian |
| Pages (from-to) | 130-132 |
| Number of pages | 3 |
| Journal | Доклады Академии наук |
| Volume | 488 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2019 |
GRNTI
- 27.19.00
Level of Research Output
- VAK List