@article{14ccf1508e904cb583d2650278c99e9c,
title = "Trichotomies for ideals of compact sets",
abstract = "We prove several trichotomy results for ideals of compact sets. Typically, we show that a {"}sufficiently rich{"} universally Baire ideal is either π3 0-hard, or Σ3 0-hard, or else a σ-ideal.",
keywords = "Descriptive set theory, Ideals of compact sets",
author = "{\'E} Matheron and S. Solecki and M. Zelen{\'y}",
note = "Funding Information: Research supported by NSF grant DMS-0400931. Funding Information: The work is a part of the research project MSM 0021620839 financed by MSMT and partly supported by the grant GA {\v C}R 201/03/0931. 06 2006 71 2 586 598 10 06 2005 Copyright {\textcopyright} Association for Symbolic Logic 2006 2006 Association for Symbolic Logic ",
year = "2006",
month = jun,
doi = "10.2178/jsl/1146620160",
language = "English (US)",
volume = "71",
pages = "586--598",
journal = "Journal of Symbolic Logic",
issn = "0022-4812",
publisher = "Association for Symbolic Logic",
number = "2",
}