4 papers
A decisive Theorem (Un théorème décisif)
Henri Lombardi
We give an elementary proof of the theorem which states that a finite unramified algebra over a discrete field is tracically étale. -- Nous donnons une démonstration élémentaire du…
Algebraic identities to prove that a neat finite free algebra is tracically étale
Claude Quitté, Henri Lombardi
The central objective of this article is to provide an elementary proof of the following theorem, of which we are unaware of any trace in the existing literature. If is a net f…
Cyclotomic polynomials without using the zeros of
Gema M. Diaz-Toca, Henri Lombardi, Claude Quitté
This note aims to construct an ``intrinsic'' splitting field for the polynomial over the rational field , in a way that Gauss, Kummer, Kronecker and Bishop would hav…
Rationally presented metric spaces and complexity, the case of the space of uniformly continuous real functions on a compact interval
Henri Lombardi, Salah Labhalla, E. Moutai
We define the notion of {\em rational presentation of a complete metric space} in order to study metric spaces from the algorithmic complexity point of view. In this setting, we st…