Thin set (analysis)
id:
thin-set-analysis-283-16762725
title:
Thin set (analysis)
text:
In mathematical analysis, a thin set is a subset of n-dimensional complex space Cn with the property that each point has a neighbourhood on which some non-zero holomorphic function vanishes. Since the set on which a holomorphic function vanishes is closed and has empty interior, a thin set is nowhere dense, and the closure of a thin set is also thin. The fine topology was introduced in 1940 by Henri Cartan to aid in the study of thin sets.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Thin_set_(analysis)
date created:
date modified:
2015-11-15T19:15:24Z
main entity:
{"identifier":"Q7784292","url":"https://www.wikidata.org/entity/Q7784292"}
image:
fields total:
13
integrity:
13