Meaning of limit point | Babel Free

Definitions

Given a subset S of a given topological space T, any point p whose every neighborhood contains some point, distinct from p, which belongs to S.

Equivalents

Examples

“is an example of a function having infinitely many essential singularities with a limit point at z=0. It is an easy matter to give examples of "elementary" functions whose singularities have a countable number of limit points.”

“If z_0 is a limit point of S, then every ϵ-neighborhood of z_0 must contain infinitely many points of S.”

“As the next example shows, the set of zeros may well have a limit point not belonging to the domain.”

CEFR level