accumulation point
accumulation point · accumulation points
Given a subset S of a topological space X, a point x whose every neighborhood contains…Given a subset S of a topological space X, a point x whose every neighborhood contains at least one point distinct from x that belongs to S.
» If a holomorphic function has an infinite sequence of zeroes with an accumulation point, then it is identically zero.
Meaning
1 sensesGiven a subset S of a topological space X, a point x whose every neighborhood contains at least one point distinct from x that belongs to S.
Examples
1 sentencesIf a holomorphic function has an infinite sequence of zeroes with an accumulation point, then it is identically zero.
Forms
plural: accumulation points| Singular | accumulation point |
|---|---|
| Plural | accumulation points |
regular
Synonyms
2 synonymslimit pointcluster point