Geometric Measure Theory I: Measures
Geometry of Euclidean Sets I: Vector, Topological, and Metric Aspects
Article REF: AF222 V1
 Geometric Measure Theory I: Measures
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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10.  Geometric Measure Theory I: Measures

The eighth general mathematical framework is that of geometric measure theory, which deals with the application of measure theory to geometry.

10.1  Functional

A functional, denoted generically by F, is a mapping defined on a class of subsets of Euclidean space 2n (e.g., the class of all nonempty compact subsets under the Euclidean topology) and with numerical values (i.e., in , or

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