diff --git a/properties/P000139.md b/properties/P000139.md index decdcdd94..1fe0a4d06 100644 --- a/properties/P000139.md +++ b/properties/P000139.md @@ -1,8 +1,20 @@ --- uid: P000139 name: Has an isolated point +aliases: +- Not crowded +- Not dense-in-itself +refs: +- mathse: 3823020 + name: "Reference request: crowded space" +- wikipedia: Dense-in-itself + name: "Dense-in-itself on Wikipedia" --- Some singleton $\{x\}\subseteq X$ is an open set. -Compare with {P107}. \ No newline at end of file +*Note*: A space that fails to satisfy {P139}, +i.e., a space without any isolated points, is called "dense-in-itself" or "crowded". +See {{wikipedia:Dense-in-itself}} and {{mathse:3823020}}. + +Compare with {P107}.