Locally convex structures on higher local fields
Number Theory
2013-02-01 v2 Algebraic Geometry
Functional Analysis
Abstract
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.
Cite
@article{arxiv.1210.8068,
title = {Locally convex structures on higher local fields},
author = {Alberto Camara},
journal= {arXiv preprint arXiv:1210.8068},
year = {2013}
}
Comments
18 pages