Finite structures with few types

by Cherlin, Gregory L.

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Title Statements

Full title :Finite structures with few types / Gregory Cherlin and Ehud Hrushovski.

Edition Statements

Publication Date:©2003.

Publication Statements

Publisher(s):Princeton University Press
Place of Publication:Princeton, N.J
Language:eng
Publication Date:©2003.

The Physical Object

Description:1 online resource (vi, 193 pages).

Edition Identifiers

oclc:on1285562479
LC Classification:QA9.7
Dewey Decimal:511.3

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. Recap…

Subjects

Einhüllende Envelopes (Geometry) Enveloppes (Géométrie) Groepentheorie Group theory Gruppentheorie Lógica matemática Model theory Modelltheorie Modeltheorie Teoria dos modelos Théorie des groupes Théorie des modèles