# Topological aspects of a black hole

Comments: 12 pages, v3: minor typos corrected

We clarify some basic notions of the, underlying black hole, in the context of a topological perspective. It is shown that the black hole is a real object, and that the spacetime geometry has a real structure. It is shown that the black hole is constructed from the space-time of a black hole observer. To illustrate this result, we construct a black hole observer, one whose space-time is a sphere and whose orbit is a point on a boundary. The observer's space-time has a real structure, and the observer's orbit is a point on a boundary. Our results establish that the black hole observer is a real object in the generic sense.