Timeline for When C(K) is closed in sigma strong topology?
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 16, 2011 at 15:22 | comment | added | Dmitri Pavlov | @Tomasz: The construction you are referrring to is known as the hyperstonean cover. A search in Google Scholar on “hyperstonean cover” reveals quite a few papers on this matter and one of them is titled “Topological characterization of the hyperstonean cover”. | |
| May 16, 2011 at 8:56 | comment | added | Tomasz Kania | Thank you all. Is there a purely topological characterization of the hyperstonian space corresponding to a given compact space? If we are interested in the Gleason cover of a compact space then indeed, there are at least two interesting characterizations. | |
| May 16, 2011 at 4:28 | comment | added | Dmitri Pavlov | Another helpful source of intuition about hyperstonean spaces: Clopen (closed and open) subsets of a hyperstonean space are in bijective correspondence to equivalence classes of measurable sets modulo null sets of the corresponding measurable space. | |
| May 16, 2011 at 4:24 | comment | added | Dmitri Pavlov | Just to clarify the third paragraph: Every hyperstonean space is extremally disconnected, but not every extremally disconnected space is hyperstonean, because there are additional conditions (e.g., existence of sufficiently many normal measures) involved in the definition of hyperstonean spaces. | |
| May 15, 2011 at 22:36 | history | edited | André Henriques | CC BY-SA 3.0 |
added 13 characters in body
|
| May 15, 2011 at 22:09 | history | edited | André Henriques | CC BY-SA 3.0 |
added 44 characters in body
|
| May 15, 2011 at 21:56 | vote | accept | Tomasz Kania | ||
| May 15, 2011 at 21:28 | vote | accept | Tomasz Kania | ||
| May 15, 2011 at 21:34 | |||||
| May 15, 2011 at 21:25 | history | edited | André Henriques | CC BY-SA 3.0 |
added 897 characters in body
|
| May 15, 2011 at 21:16 | history | answered | André Henriques | CC BY-SA 3.0 |