Residual Draft

Manifold, the Riemannian notion of space, is still Kantian in its core, in that it is locally Euclidean.
There's a totally non-Euclidean way of conceptualizing space: in terms of pointless topology. Locale and frame.
Locale and frame, internal/geometric logic, synthetic mathematics, and finally continuum that is internal to each logic.

The materiality of a material object is present in its response to an external stimulous. Something is impenetrable only because there's a potential that makes it impenetrable in a limited degree.