On Definable Skolem Functions In Weakly O-Minimal Nonvaluational Structures
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| Type of Publication: | Journal article |
| Publication status: | Published |
| Author: | Eleftheriou, Pantelis E.; Hasson, Assaf; Keren, Gil |
| Year of publication: | 2017 |
| Published in: | The Journal of Symbolic Logic ; 82 (2017), 4. - pp. 1482-1495. - ISSN 0022-4812. - eISSN 1943-5886 |
| DOI (citable link): | https://dx.doi.org/10.1017/jsl.2017.28 |
| Summary: |
We prove that all known examples of weakly o-minimal nonvaluational structures have no definable Skolem functions. We show, however, that such structures eliminate imaginaries up to definable families of cuts. Along the way we give some new examples of weakly o-minimal nonvaluational structures.
|
| Subject (DDC): | 510 Mathematics |
| Bibliography of Konstanz: | Yes |
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ELEFTHERIOU, Pantelis E., Assaf HASSON, Gil KEREN, 2017. On Definable Skolem Functions In Weakly O-Minimal Nonvaluational Structures. In: The Journal of Symbolic Logic. 82(4), pp. 1482-1495. ISSN 0022-4812. eISSN 1943-5886. Available under: doi: 10.1017/jsl.2017.28
@article{Eleftheriou2017Defin-41537, title={On Definable Skolem Functions In Weakly O-Minimal Nonvaluational Structures}, year={2017}, doi={10.1017/jsl.2017.28}, number={4}, volume={82}, issn={0022-4812}, journal={The Journal of Symbolic Logic}, pages={1482--1495}, author={Eleftheriou, Pantelis E. and Hasson, Assaf and Keren, Gil} }
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