Abstract
We show that the existence of an Efimov space follows from a weak set-theoretic hypothesis. An Efimov space is a compact space containing no infinite converging sequence and no copy of the Stone-Cech compact-ification of the integers.
| Original language | English |
|---|---|
| Pages (from-to) | 1423-1435 |
| Number of pages | 13 |
| Journal | Houston Journal of Mathematics |
| Volume | 39 |
| Issue number | 4 |
| State | Published - 2013 |
Keywords
- Converging sequence
- Efimov space
- Martin's Axiom
- Minimal Boolean algebra