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L vector spaces and L fields

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Abstract

We construct in ZFC (the Zermelo-Fraenkel system with choice) an L topological vector space—a topological vector space that is an L space—and an L field—a topological field that is an L space. This generalizes earlier results in L spaces and L groups.

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Acknowledgements

Yinhe Peng was supported by National Natural Science Foundation of China (Grant No. 11901562) and A Program of the Chinese Academy of Sciences. Liuzhen Wu was supported by National Natural Science Foundation of China (Grant No. 11871464). The authors thank the referees for their careful reading of the manuscript and suggestions that improve the exposition.

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Authors and Affiliations

  1. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Yinhe Peng & Liuzhen Wu

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  1. Yinhe Peng
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  2. Liuzhen Wu
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Correspondence to Yinhe Peng.

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Peng, Y., Wu, L. L vector spaces and L fields. Sci. China Math. (2024). https://doi.org/10.1007/s11425-022-2183-8

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