most citedTopology on rational points over higher local fields

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math.NT2012

Locally convex structures on higher local fields

Alberto Camara

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 tha…

math.NT2012

Functional analysis on two-dimensional local fields

Alberto Camara

We establish how a two-dimensional local field can be described as a locally convex space once an embedding of a local field into it has been fixed. We study the resulting spaces f…