# Condensation point

In mathematics, a condensation point p of a subset S of a topological space, is any point p, such that every open neighborhood of p contains uncountably many points of S. Thus, according to the axiom of choice, "condensation point" is synonymous with "${\displaystyle \aleph _{1}}$-accumulation point".{{ safesubst:#invoke:Unsubst||date=__DATE__ |\$B= {{#invoke:Category handler|main}}{{#invoke:Category handler|main}}[citation needed] }}