CONTENTSPreface.............................................................................................. 5Chapter I. Preliminaries................................................................. 61. Notation and terminology.......................................................... 62. Results from the literature......................................................... 93. Definitions and basic properties.............................................. 11Chapter II. Subnormality and coherence.................................... 151. Subnormality................................................................................ 152. Solovay's theorem on normal saturated ideals.................... 183. Coherence with the non-stationary ideal................................ 204. Friendly ideals............................................................................. 225. The RK-ordering of ideals......................................................... 26Chapter III. Weak notions of selectivity........................................ 331. Local P-points.............................................................................. 342. Local Q-points............................................................................. 423. Saturated and precipitous ideals............................................. 474. The complete Boolean algebra induced by an ideal........... 525. Partition theorems...................................................................... 58Chapter IV. Strong notions of selectivity...................................... 651. P-points......................................................................................... 652. Ulam ideals and rigidity............................................................. 703. Q-points........................................................................................ 804. Selective ideals........................................................................... 85Appendix I.......................................................................................... 92References....................................................................................... 93
@book{bwmeta1.element.zamlynska-e1ed1f0b-c63d-461f-9a8d-9d826e3e2763,
author = {J. E. Baumgartner and A. D. Taylor and S. Wagon},
title = {Structural properties of ideals},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1982},
zbl = {0549.03036},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.zamlynska-e1ed1f0b-c63d-461f-9a8d-9d826e3e2763}
}
J. E. Baumgartner; A. D. Taylor; S. Wagon. Structural properties of ideals. GDML_Books (1982), http://gdmltest.u-ga.fr/item/bwmeta1.element.zamlynska-e1ed1f0b-c63d-461f-9a8d-9d826e3e2763/