CHAPTER 13
Free Constructions
Martin FUNK
Dipartimento di Matematica, Università della Basilicata, Via Nazario
Sauro 85, I-85100 Potenza, Italy
Karl STRAMBACH
Mathematisches Institut, Universität Erlangen--Nürnberg,
Bismarckstraß e
1 1/2, D-91054 Erlangen, Germany
Contents
Subject Index
- Introduction
- 1. Free extensions: model-theoretic point of view
- 1.1. Preliminaries from model theory
- 1.2. Examples
- 1.3. General theory of (hyper-)free extensions
- 1.4. Model-theoretic construction of free extensions
- 1.5. Degenerate models of
- 2. Survey of further results on free models
- 2.1. Canonical free models and free equivalence
- 2.2. Free projective and affine planes
- 2.3. Other classes of (free) geometries
- 3. Groups of projectivities in free geometries
- 3.1. Unifying treatment: model-theoretic point of view
- 3.2. Examples
- 3.3. Theorems about groups of projectivities in free models
- 4. Automorphism groups of free geometries
- 5. Free extensions and amalgamation techniques
- References