About: Caccioppoli set

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In mathematics, a Caccioppoli set is a set whose boundary is measurable and has (at least locally) a finite measure. A synonym is set of (locally) finite perimeter. Basically, a set is a Caccioppoli set if its characteristic function is a function of bounded variation.

Attributes	Values
rdfs:label	Caccioppoli set (en) Insieme di Caccioppoli (it)
rdfs:comment	In mathematics, a Caccioppoli set is a set whose boundary is measurable and has (at least locally) a finite measure. A synonym is set of (locally) finite perimeter. Basically, a set is a Caccioppoli set if its characteristic function is a function of bounded variation. (en) In matematica, un insieme di Caccioppoli è un insieme il cui contorno è misurabile e ha (almeno localmente) una misura finita. Un sinonimo è un insieme di perimetro finito (localmente). In sostanza, un insieme è un insieme di Caccioppoli se la sua funzione caratteristica è una funzione a variazione limitata. (it)
dcterms:subject	Calculus of variations Mathematical analysis Measure theory
Wikipage page ID	8907443 (xsd:integer)
Wikipage revision ID	1077857162 (xsd:integer)
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