Abstract
It is shown that, assuming the Continuum Hypothesis, every compact Hausdorff space of weight at most c is a remainder in a soft compactification of N.
We also exhibit an example of a compact space of weight aleph_1 ---hence a remainder in some compactification of N ---for which it is consistent that is not the remainder in a softcompactification of N.
We also exhibit an example of a compact space of weight aleph_1 ---hence a remainder in some compactification of N ---for which it is consistent that is not the remainder in a softcompactification of N.
| Original language | English |
|---|---|
| Pages (from-to) | 209-221 |
| Number of pages | 13 |
| Journal | Topology Proceedings |
| Volume | 59 |
| Publication status | Published - 2022 |
Keywords
- compactification
- soft compactification
- Parovichenko space
- Continuum Hypothesis