A note on noninterpretability in o-minimal structures
Fundamenta Mathematicae, Tome 158 (1998) no. 1, pp. 19-22
We prove that if M is an o-minimal structure whose underlying order is dense then Th(M) does not interpret the theory of an infinite discretely ordered structure. We also make a conjecture concerning the class of the theory of an infinite discretely ordered o-minimal structure.
@article{10_4064_fm_158_1_19_22,
author = {Ricardo Bianconi},
title = {A note on noninterpretability in o-minimal structures},
journal = {Fundamenta Mathematicae},
pages = {19--22},
year = {1998},
volume = {158},
number = {1},
doi = {10.4064/fm-158-1-19-22},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-158-1-19-22/}
}
Ricardo Bianconi. A note on noninterpretability in o-minimal structures. Fundamenta Mathematicae, Tome 158 (1998) no. 1, pp. 19-22. doi: 10.4064/fm-158-1-19-22
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