ℵ 0 ‐Categorical Structures Smoothly Approximated by Finite Substructures | Zendy

Kantor W. M. | Zendy; Liebeck Martin W. | Zendy; Macpherson H. D. | Zendy

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ℵ 0 ‐Categorical Structures Smoothly Approximated by Finite Substructures

Author(s) -

Kantor W. M.,

Liebeck Martin W.,

Macpherson H. D.

Publication year - 1989

Publication title -

proceedings of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.899

H-Index - 65

eISSN - 1460-244X

pISSN - 0024-6115

DOI - 10.1112/plms/s3-59.3.439

Subject(s) - categorical variable , mathematics , simple (philosophy) , homogeneous , class (philosophy) , representation (politics) , pure mathematics , classification of finite simple groups , algebra over a field , combinatorics , group theory , artificial intelligence , computer science , statistics , group of lie type , philosophy , epistemology , politics , political science , law

A classification is given of primitive ℵ 0 ‐categorical structures which are smoothly approximated by a chain of finite homogeneous substructures. The proof uses the classification of finite simple groups and some representation theory. The main theorems give information about a class of structures more general than the ℵ 0 ‐categorical, ω‐stable structures examined by Cherlin, Harrington, and Lachlan.

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