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Gilles GODEFROY: Research Director - Center national de la recherche scientifique CNRS
INTRODUCTION
This article is a preliminary to functional analysis, since it deals with the study of topology and measurement. To do this, we need to become acquainted with the concepts that inform formalization: metric spaces, complete spaces, compact spaces, normed spaces and Banach spaces. Finite-dimensional normed spaces, Hilbert spaces and non-Euclidean Banach spaces are the subject of the following article [AF 100].
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Topology and measurement
Metric spaces. Complete spaces
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