Locally convex structures on higher local fields

On local and global injectivity of noncompact vector fields in non necessarily locally convex vector spaces

We give in this paper conditions for a mapping to be globally injective in a topological vector space.

Higher dimensional local fields Igor

Suppose that we are given a surface S over a finite field of characteristic p, a curve C ⊂ S , and a point x ∈ C such that both S and C are regular at x. Then one can attach to these data the quotient field of the completion ̂ (ÔS,x)C of the localization at C of the completion ÔS,x of the local ring OS,x of S at x. This is a two-dimensional local field over a finite field, i.e., a complete discr...

Ramification of Higher Local Fields

Some Results on Boundedness in Locally Convex Cones

On the dual of certain locally convex function spaces

In this paper, we first introduce some function spaces, with certain locally convex topologies, closely  related to the space of real-valued continuous functions on $X$,  where $X$ is a $C$-distinguished topological space. Then, we show that their dual spaces can be identified in a natural way with certain spaces of Radon measures.