A solid sphere is topologically equivalent to a Mobius strip(?)

And a hollow sphere is topologically equivalent to a loop (a Mobius strip without a half turn). This is interesting because a loop has a hole, but a hollow sphere does not. Does the space inside a hollow sphere count as a hole?

Imagine a Mobius strip made out of clay. It could squished and rolled into a ball. And a clay loop could be formed into a hollow sphere.