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Norms on Possibilities. I : Forcing with Trees and Creatures.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1999Copyright date: ©1999Edition: 1st edDescription: 1 online resource (186 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470402624
Subject(s): Genre/Form: Additional physical formats: Print version:: Norms on Possibilities. IDDC classification:
  • 510 s;511.3/22
LOC classification:
  • QA248 -- .R67 1999eb
Online resources:
Contents:
Intro -- Contents -- Annotated Content -- Abstract -- Chapter 0. Introduction -- 0.1. The content of the paper -- 0.2. Notation -- Chapter 1. Basic definitions -- 1.0. Prologue -- 1.1. Weak creatures and related forcing notions -- 1.2. Creatures -- 1.3. Tree creatures and tree-like forcing notions -- 1.4. Non proper examples -- Chapter 2. Properness and the reading of names -- 2.1. Forcing notions Q*[sub(s∞)](K,Σ), Q*[sub(w∞)](K,Σ) -- 2.2. Forcing notion Q*[sub(f)](K,Σ): bigness and halving -- 2.3. Tree-creating (K,Σ) -- 2.4. Examples -- Chapter 3. More properties -- 3.1. Old reals are dominating -- 3.2. Preserving non-meager sets -- 3.3. Preserving non-null sets -- 3.4. (No) Sacks Property -- 3.5. Examples -- Chapter 4. Omittory with Halving -- 4.1. What omittory may easily do -- 4.2. More operations on weak creatures -- 4.3. Old reals are unbounded -- 4.4. Examples -- Chapter 5. Around not adding Cohen reals -- 5.1. (f,g)-bounding -- 5.2. (t,F)-bounding -- 5.3. Quasi-generic Γ and preserving them -- 5.4. Examples -- Chapter 6. Playing with ultrafilters -- 6.1. Generating an ultrafilter -- 6.2. Between Ramsey and p-points -- 6.3. Preserving ultrafilters -- 6.4. Examples -- Chapter 7. Friends and relatives of PP -- 7.1. Balcerzak-Plewik number -- 7.2. An iterable friend of the strong PP-property -- 7.3. Bounded relatives of PP -- 7.4. Weakly non-reducible p-filters in iterations -- 7.5. Examples -- List of definitions -- Bibliography.
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Intro -- Contents -- Annotated Content -- Abstract -- Chapter 0. Introduction -- 0.1. The content of the paper -- 0.2. Notation -- Chapter 1. Basic definitions -- 1.0. Prologue -- 1.1. Weak creatures and related forcing notions -- 1.2. Creatures -- 1.3. Tree creatures and tree-like forcing notions -- 1.4. Non proper examples -- Chapter 2. Properness and the reading of names -- 2.1. Forcing notions Q*[sub(s∞)](K,Σ), Q*[sub(w∞)](K,Σ) -- 2.2. Forcing notion Q*[sub(f)](K,Σ): bigness and halving -- 2.3. Tree-creating (K,Σ) -- 2.4. Examples -- Chapter 3. More properties -- 3.1. Old reals are dominating -- 3.2. Preserving non-meager sets -- 3.3. Preserving non-null sets -- 3.4. (No) Sacks Property -- 3.5. Examples -- Chapter 4. Omittory with Halving -- 4.1. What omittory may easily do -- 4.2. More operations on weak creatures -- 4.3. Old reals are unbounded -- 4.4. Examples -- Chapter 5. Around not adding Cohen reals -- 5.1. (f,g)-bounding -- 5.2. (t,F)-bounding -- 5.3. Quasi-generic Γ and preserving them -- 5.4. Examples -- Chapter 6. Playing with ultrafilters -- 6.1. Generating an ultrafilter -- 6.2. Between Ramsey and p-points -- 6.3. Preserving ultrafilters -- 6.4. Examples -- Chapter 7. Friends and relatives of PP -- 7.1. Balcerzak-Plewik number -- 7.2. An iterable friend of the strong PP-property -- 7.3. Bounded relatives of PP -- 7.4. Weakly non-reducible p-filters in iterations -- 7.5. Examples -- List of definitions -- Bibliography.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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