English Dictionary

Caccioppoli set

名詞

(mathematics) A set whose boundary is measurable and has (at least locally) finite measure.

日本語の意味

数学において、境界が可測であり、（少なくとも局所的に）有限な測度を持つ集合

In geometric measure theory, a Caccioppoli set is a measurable subset of Euclidean space whose boundary has locally finite measure, making it central to studies of minimal surfaces and variational problems.

幾何測度論において、有限周集合はユークリッド空間の可測部分集合で、その境界は局所的に有限の測度を持ち、最小曲面や変分問題の研究において重要である。

意味（1）

(mathematics) A set whose boundary is measurable and has (at least locally) finite measure.

Caccioppoli sets （ plural ）