Puncture (topology)

In topology, puncturing a manifold is removing a finite set of points from that manifold.

In this case, the manifold is known as once-punctured.

With the removal of a second point, it becomes twice-punctured, and so on.

Examples of punctured manifolds include the open disk (which is a sphere with a single puncture), the cylinder (which is a sphere with two punctures),[1] and the Möbius strip (which is a projective plane with a single puncture).

This topology-related article is a stub.