Accepted author manuscript, 330 KB, PDF document
Available under license: CC BY-NC: Creative Commons Attribution-NonCommercial 4.0 International License
Final published version, 445 KB, PDF document
Available under license: None
Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
| <mark>Journal publication date</mark> | 2019 |
|---|---|
| <mark>Journal</mark> | Studia Mathematica |
| Volume | 246 |
| Number of pages | 16 |
| Pages (from-to) | 31-46 |
| Publication Status | Published |
| Early online date | 7/09/18 |
| <mark>Original language</mark> | English |
Let K be a compact space, and denote by (K) over tilde its hyper-Stonean envelope. We discuss the class of spaces K with the property that (K) over tilde is homeomorphic to (I) over tilde, the hyper-Stonean envelope of the closed unit interval d. Certainly each uncountable, compact, metrizable space K belongs to this class. We describe several further classes of compact spaces K for which (K) over tilde = (I) over tilde. In fact, (K) over tilde = (I) over tilde if and only if the Banach spaces M(K) and M(I) of measures on K and If are isometrically isomorphic.