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

AF222 V1 Article

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

Author : Jean-Charles PINOLI

Publication date: May 10, 2026 | Lire en français

Add to my library

You do not have access to this resource.

Request your free trial access! Free trial

Already subscribed?Log in!

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.^c, simple difference \ and symmetric difference Δ. The empty set is denoted by: Ø. The elements of $ℝ_{2}^{n}$ ...

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed? Log in!

Ongoing reading
Set Theory

Previous
page Euclidean sets

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) - BLOCH (E.D.) - A First Course...

You do not have access to this resource.

Exclusive to subscribers. 97% yet to be discovered!

You do not have access to this resource. Click here to request your free trial access!

Already subscribed? Log in!

Article included in this offer

"Mathematics"

( 168 articles )

Complete knowledge base

Updated and enriched with articles validated by our scientific committees

Services

A set of exclusive tools to complement the resources

View offer details

Outline
Full outline