The uncountable spectra of countable theories

Authors
Hart, B Hrushovski, E Laskowski, MC
Citation
B. Hart et al., The uncountable spectra of countable theories, ANN MATH, 152(1), 2000, pp. 207-257
Citations number
19
Categorie Soggetti
Mathematics
Journal title
ANNALS OF MATHEMATICS
ISSN journal
0003486X → ACNP
Volume
152
Issue
1
Year of publication
2000
Pages
207 - 257
Database
ISI
SICI code
0003-486X(200007)152:1<207:TUSOCT>2.0.ZU;2-G
Abstract
Let T be a complete, first-order theory in a finite or countable language h aving infinite models. Let I(T, kappa) be the number of isomorphism types o f models of T of cardinality kappa. We denote by mu (respectively <(<mu>)ov er cap>) the number of cardinals (respectively infinite cardinals) less tha n or equal to kappa.