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Structural properties of ideals

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Baumgartner J. E., Taylor A. D., Wagon S.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS Preface.............................................................................................. 5 Chapter I. Preliminaries................................................................. 6 1. Notation and terminology.......................................................... 6 2. Results from the literature......................................................... 9 3. Definitions and basic properties.............................................. 11 Chapter II. Subnormality and coherence.................................... 15 1. Subnormality................................................................................ 15 2. Solovay's theorem on normal saturated ideals.................... 18 3. Coherence with the non-stationary ideal................................ 20 4. Friendly ideals............................................................................. 22 5. The RK-ordering of ideals......................................................... 26 Chapter III. Weak notions of selectivity........................................ 33 1. Local P-points.............................................................................. 34 2. Local Q-points............................................................................. 42 3. Saturated and precipitous ideals............................................. 47 4. The complete Boolean algebra induced by an ideal........... 52 5. Partition theorems...................................................................... 58 Chapter IV. Strong notions of selectivity...................................... 65 1. P-points......................................................................................... 65 2. Ulam ideals and rigidity............................................................. 70 3. Q-points........................................................................................ 80 4. Selective ideals........................................................................... 85 Appendix I.......................................................................................... 92 References....................................................................................... 93

Ograniczanie wyników

1 Baumgartner J. E.

1 Taylor A. D.

1 Wagon S.

1 1982

Wyniki wyszukiwania

Structural properties of ideals