Abstract
In this paper we prove that for a fixed integer or an ordinal \(\alpha \) and a fixed infinite cardinal \(\tau \) the class of all regular frames of weight less than or equal to \(\tau \) with small inductive dimension less than or equal to \(\alpha \) is saturated and therefore, in this class of frames there exist universal elements.
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Acknowledgements
The authors would like to thank the referee for the careful reading of the paper and the useful comments. The fourth author of the paper F. Sereti (with scholarship code 2547) would like to thank the General Secretariat for Research and Technology (GSRT) and the Hellenic Foundation for Research and Innovation (HFRI) for the financial support of this study.
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Georgiou, D.N., Iliadis, S.D., Megaritis, A.C. et al. Small inductive dimension and universality on frames. Algebra Univers. 80, 21 (2019). https://doi.org/10.1007/s00012-019-0593-5
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DOI: https://doi.org/10.1007/s00012-019-0593-5