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## Main Question or Discussion Point

Consider a discrete set of ##k## points.

First, is it a manifold? I know that a manifold is a topological space that contains a neighborhood homeomorphic to Euclidean space for each point. Can we just consider each point's neighborhood to be a set containing only that point?

Second, would the structure be orientable for ##k>2##?

First, is it a manifold? I know that a manifold is a topological space that contains a neighborhood homeomorphic to Euclidean space for each point. Can we just consider each point's neighborhood to be a set containing only that point?

Second, would the structure be orientable for ##k>2##?