I understand the topological point of view (which also generally considers spheres to be 2-dimensional surfaces.) I'm pointing out that common language does no

I understand the topological point of view (which also generally considers spheres to be 2-dimensional surfaces.) I'm pointing out that common language does not match the topological point of view. Topology also has 'open' and 'closed' sets, which are not very good names for whether some subset of a space 'has a shared classification of nearness', and 'tunnel' is probably better terminology than 'hole' is. But mathematics is done by intelligent people, and it's a rather esoteric subject, so it isn't exactly a problem that the terms don't align intuitively.