Finite structures with few types /
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Book |
| Language: | English |
| Published: |
Princeton, N.J. :
Princeton University Press,
[2003]
|
| Series: | Annals of mathematics studies ;
no. 152. |
| Subjects: | |
| Online Access: | Sample text Table of contents Table of contents Contributor biographical information Publisher description |
Table of Contents:
- 1. Introduction
- 2. Basic Notions
- 2.1. Finiteness Properties
- 2.2. Rank
- 2.3. Imaginary Elements
- 2.4. Orthogonality
- 2.5. Canonical Projective Geometries
- 3. Smooth Approximability
- 3.1. Envelopes
- 3.2. Homogeneity
- 3.3. Finite Structures
- 3.4. Orthogonality Revisited
- 3.5. Lie Coordinatization
- 4. Finiteness Theorems
- 4.1. Geometrical Finiteness
- 4.2. Sections
- 4.3. Finite Language
- 4.4. Quasifinite Axiomatizability
- 4.5. Ziegler's Finiteness Conjecture
- 5. Geometric Stability Generalized
- 5.1. Type amalgamation
- 5.2. The sizes of envelopes
- 5.3. Nonmultidimensional Expansions
- 5.4. Canonical Bases
- 5.5. Modularity
- 5.6. Local Characterization of Modularity
- 5.7. Reducts of Modular Structures
- 6. Definable Groups
- 6.1. Generation and Stabilizers
- 6.2. Modular Groups
- 6.3. Duality
- 6.4. Rank and Measure
- 6.5. The Semi-Dual Cover
- 6.6. The Finite Basis Property
- 7. Reducts
- 7.1. Recognizing Geometries
- 7.2. Forgetting Constants
- 7.3. Degenerate Geometries
- 7.4. Reducts with Groups
- 7.5. Reducts
- 8. Effectivity
- 8.1. The Homogeneous Case
- 8.2. Effectivity
- 8.3. Dimension Quantifiers
- 8.4. Recapitulation and Further Remarks.