Set Theory
Geometry of Euclidean Sets I: Vector, Topological, and Metric Aspects

Article REF: AF222 V1

Set Theory
Geometry of Euclidean Sets I: Vector, Topological, and Metric Aspects

Author : Jean-Charles PINOLI

Publication date: May 10, 2026 | Lire en français

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2. Set Theory

The first general mathematical framework is that of set theory, which amounts to considering n-dimensional Euclidean space $ℝ_{2}^{n}$ (n ≥ 1) as the ambient space.

Any Euclidean set X is therefore a subset of $ℝ_{2}^{n}$ . Its complement is denoted by X ^c . Next come the set operations of intersection $\cap$ , of union $\cup$ , complementarity. ^...

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Bibliography

(1) - AUBIN (J.P.), FRANKOWSKA (H.) - Set-Valued Analysis, - Birkhäuser (1990).
(2) - BERGER (M.) - Geometry, - Springer, vol. 1 and 2, [1st ed., 1987] (2009).
(3)...

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