ON BOREL IDEAS

Authors
VANENGELEN F
Citation
F. Vanengelen, ON BOREL IDEAS, Annals of pure and applied Logic, 70(2), 1994, pp. 177-203
Citations number
28
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Annals of pure and applied Logic → ACNP
ISSN journal
01680072
Volume
70
Issue
2
Year of publication
1994
Pages
177 - 203
Database
ISI
SICI code
0168-0072(1994)70:2<177:OBI>2.0.ZU;2-J
Abstract
We show that a first category homogeneous zero-dimensional Borel set X can be embedded in P(omega) as an ideal on omega if and only if X is homeomorphic to X x X if and only if X is Wadge-equivalent to X x X. F urthermore, we determine the Wadge classes of such X, thus giving a co mplete picture of the possible descriptive complexity of Borel ideals on omega. We also discuss the connection with ideals of compact sets.