L vector spaces and L fields
Yinhe Peng, Liuzhen Wu
TL;DR
This paper constructs examples of L topological vector spaces and L fields within ZFC, expanding the understanding of spaces with specific topological and algebraic properties.
Contribution
It generalizes previous results by explicitly constructing L spaces as topological vector spaces and fields in ZFC.
Findings
Constructed an L topological vector space in ZFC.
Constructed an L topological field in ZFC.
Generalized earlier results on L spaces.
Abstract
We construct in ZFC 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 results in [5] and [8].
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Taxonomy
TopicsAdvanced Topology and Set Theory · Rings, Modules, and Algebras