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Abstract: this paper is taken from the Ph. D. Thesis [Pa95] of the Second Author at the University of East Anglia. A preliminary version of the paper has been available since 1995. Since then, the construction of unstable structures in [Hr88] has acquired an additional signi cance. In [Hr97], Hrushovski pointed out that these constructions give rise to simple, unstable @ 0 -categorical structures which are not modular. To ensure that the structures we produce in Theorems 1 and 2 are simple we require an ... (Update)
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BibTeX entry: (Update)
@misc{ evans-alephcategorical,
author = "David M. Evans and M. E. Pantano",
title = "Aleph_0-Categorical Structures With Arbitrarily Fast Growth of Algebraic
Closure",
url = "citeseer.ist.psu.edu/494843.html" }
Citations (may not include all citations):227 North-Holland (context) - Chang, Keisler - 1990
133 Cambridge University Press (context) - Hodges - 1993
26 Oligomorphic Permutation Groups (context) - Cameron - 1990
14 Simplicity and the Lascar group - Hrushovski - 1997
4 Sur certains relations qui generalisent l'ordre des nombre.. (context) - Fra - 1953
4 Annals of Pure and Applied Logic (context) - Hrushovski, strongly et al. - 1993
3 Groups of automorphisms of @ 0 -categorical structures (context) - Macpherson - 1986
3 Annals Pure Appl (context) - Cherlin, Harrington et al. - 1985
3 Upper bounds for growth in the Ryll-Nardzewski function (context) - Steitz - 1992
3 categorical structures (context) - Evans - 1994
2 Algebraic closure in @ 0 -categorical structures (context) - Pantano - 1995
2 categorical pseudoplane (context) - Hrushovski, stable - 1988
2 Notre Dame Journal of Formal Logic (context) - Kueker, Laskowski et al. - 1992
1 Sur l'extension aux relations de quelques proprietes des o.. (context) - Fra - 1954
1 Relational Structures and Dimensions (context) - Wagner
1 categorical structures with a predimension (context) - Evans - 2000
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