Publikation: Exponential fields and Conway’s omega-map
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2023
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Proceedings of the American Mathematical Society. American Mathematical Society (AMS). 2023, 151(9), pp. 2655-2669. ISSN 0002-9939. eISSN 1088-6826. Available under: doi: 10.1090/proc/14577
Zusammenfassung
Inspired by Conway’s surreal numbers, we study real closed fields whose value group is isomorphic to the additive reduct of the field. We call such fields omega-fields and we prove that any omega-field of bounded Hahn series with real coefficients admits an exponential function making it into a model of the theory of the real exponential field. We also consider relative versions with more general coefficient fields.
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510 Mathematik
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BERARDUCCI, Alessandro, Salma KUHLMANN, Vincenzo MANTOVA, Mickael MATUSINSKI, 2023. Exponential fields and Conway’s omega-map. In: Proceedings of the American Mathematical Society. American Mathematical Society (AMS). 2023, 151(9), pp. 2655-2669. ISSN 0002-9939. eISSN 1088-6826. Available under: doi: 10.1090/proc/14577BibTex
@article{Berarducci2023-03-21Expon-66611, year={2023}, doi={10.1090/proc/14577}, title={Exponential fields and Conway’s omega-map}, number={9}, volume={151}, issn={0002-9939}, journal={Proceedings of the American Mathematical Society}, pages={2655--2669}, author={Berarducci, Alessandro and Kuhlmann, Salma and Mantova, Vincenzo and Matusinski, Mickael} }
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