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Locally convex structures on higher local fields
We establish how a higher local field can be described as a locally convex
vector space once an embedding of a local field into it has been fixed. This
extends previous results that had been obtained in the two-dimensional case. In
particular, we study bounded and compactoid submodules of these fields and
establish a self-duality result once a suitable topology on the dual space has
been introduced.Comment: 18 page
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