Tomoki Mihara

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math.LO2026

Almost Free Non-Archimedean Banach Spaces and Relation to Large Cardinals

Tomoki Mihara

Let $k$ be a complete valuation field. We formulate a free Banach $k$ -vector space as a Banach $k$ -vector space with an orthonormal Schauder basis, and an almost free Banach $k$ -ve…

math.LO2026

Structural Hierarchy of Reid Class of non-Archimedean Banach Spaces

Tomoki Mihara

Let $k$ be a complete valuation field. We formulate a class $R$ of Banach $k$ -vector spaces analogous to Reid class of Abelian groups. We formulate an analogue of the hie…

math.LO2026

Non-Archimedean Analogue of Chase's Lemma

Tomoki Mihara

We formulate and verify a non-Archimedean analogue of Chase's lemma. Following the framework by K.\ Eda removing restriction of cardinality from analogy on direct product between c…