Cartesianization of Complex Forms in Saidou’ Spaces

Volume 6, Issue 2, Article 4 - 2019

Authors: Nourddin Saidou

Copyright © 2019 . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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In this work, we propose to define a new space that will be called locally Cartesian space (Saidou’Spaces). It is a space defined by a new topology whose fundamental system of neighborhood are compact cartesian subsets, theses subsets were already defined during our previous work, “Geometrical introduction to Cartesian geometry in complex shapes see [15]. It will have the same properties of a Banach space. Then, we will give the steps of a cartesianization method of complex shapes or region in this space. The objective sought by this technique is to find a cartesian form (denoted Car(A)), that approximates any form A, see Figure1 below. It should be noted that cartesianization will be a generalization of the polygonization whish remains the object of research for several researchers in the spaces R2 Ref [12] [13] [6].

How To Cite This Article

Nourddin Saidou (2019) Cartesianization of Complex Forms in Saidou’ Spaces
General Letters in Mathematics Vol 6 (2) 106-113