The uncountable spectra of countable theories

成果类型:
Article
署名作者:
Hart, B; Hrushovski, E; Laskowski, MC
刊物名称:
ANNALS OF MATHEMATICS
ISSN/ISSBN:
0003-486X
DOI:
10.2307/2661382
发表日期:
2000
页码:
207-257
关键词:
摘要:
Let T be a complete, first-order theory in a finite or countable language having infinite models. Let I(T, kappa) be the number of isomorphism types of models of T of cardinality kappa. We denote by mu (respectively <()over cap>) the number of cardinals (respectively infinite cardinals) less than or equal to kappa.