On the number of countable models of stable theories
Fundamenta Mathematicae (2001)
- Volume: 169, Issue: 2, page 139-144
- ISSN: 0016-2736
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topPredrag Tanović. "On the number of countable models of stable theories." Fundamenta Mathematicae 169.2 (2001): 139-144. <http://eudml.org/doc/281817>.
@article{PredragTanović2001,
abstract = {
We prove:
Theorem. If T is a countable, complete, stable, first-order theory having an infinite set of constants with different interpretations, then I(T,ℵ₀) ≥ ℵ₀.
},
author = {Predrag Tanović},
journal = {Fundamenta Mathematicae},
keywords = {stability; independence; isomorphism classes; countable model; nonisolated type; definable elements},
language = {eng},
number = {2},
pages = {139-144},
title = {On the number of countable models of stable theories},
url = {http://eudml.org/doc/281817},
volume = {169},
year = {2001},
}
TY - JOUR
AU - Predrag Tanović
TI - On the number of countable models of stable theories
JO - Fundamenta Mathematicae
PY - 2001
VL - 169
IS - 2
SP - 139
EP - 144
AB -
We prove:
Theorem. If T is a countable, complete, stable, first-order theory having an infinite set of constants with different interpretations, then I(T,ℵ₀) ≥ ℵ₀.
LA - eng
KW - stability; independence; isomorphism classes; countable model; nonisolated type; definable elements
UR - http://eudml.org/doc/281817
ER -
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