# Caratheodory extension theorem/Related Articles

From Citizendium

*See also changes related to Caratheodory extension theorem, or pages that link to Caratheodory extension theorem or to this page or whose text contains "Caratheodory extension theorem".*

## Parent topics

- Measure theory [r]: Generalization of the concepts of length, area, and volume, to arbitrary sets of points not composed of line segments or rectangles.
^{[e]}

- Constantin Carathéodory [r]:
*Add brief definition or description* - Measure [r]: Systematic way to assign to each suitable subset a number, intuitively interpreted as the size of the subset.
^{[e]} - Sigma algebra [r]: A formal mathematical structure intended among other things to provide a rigid basis for measure theory and axiomatic probability theory.
^{[e]} - Borel measure [r]:
*Add brief definition or description* - Lebesgue measure [r]:
*Add brief definition or description*