| Title:
|
A note on $G_\delta$ ideals of compact sets (English) |
| Author:
|
Saran, Maya |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
50 |
| Issue:
|
4 |
| Year:
|
2009 |
| Pages:
|
569-573 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Solecki has shown that a broad natural class of $G_{\delta}$ ideals of compact sets can be represented through the ideal of nowhere dense subsets of a closed subset of the hyperspace of compact sets. In this note we show that the closed subset in this representation can be taken to be closed upwards. (English) |
| Keyword:
|
descriptive set theory |
| Keyword:
|
ideals of compact sets |
| MSC:
|
03E15 |
| MSC:
|
28A05 |
| MSC:
|
54H05 |
| idZBL:
|
Zbl 1212.03031 |
| idMR:
|
MR2583134 |
| . |
| Date available:
|
2009-12-22T10:03:56Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/137447 |
| . |
| Reference:
|
[1] Choquet G.: Theory of capacities.Ann. Inst. Fourier (Grenoble) 5 (1953--1954), 131--295. Zbl 0679.01011, MR 0080760, 10.5802/aif.53 |
| Reference:
|
[2] Kechris A.S.: Classical Descriptive Set Theory.Springer, New York, 1995. Zbl 0819.04002, MR 1321597 |
| Reference:
|
[3] Matheron É., Zelený M.: Descriptive set theory of families of small sets.Bull. Symbolic Logic 13 (2007), no. 4, 482--537. MR 2369671, 10.2178/bsl/1203350880 |
| Reference:
|
[4] Solecki S.: $G_{\delta}$ ideals of compact sets.J. Eur. Math. Soc.(to appear). MR 2800477 |
| . |
