A: Qualitative superiority, also sometimes called being qualitatively greater, is a term colloquially used to mean that something is superior to an extend that it justifies being on a higher tier of infinity in terms of our
Tiering System than the thing they are superior to. That means a character qualitatively superior to the usual spacetime continuum would, for example, be Low Complex Multiverse level (Tier Low 1-C) at the level represented by the R^5. Someone qualitatively superior to that would have the same tier, but on the higher level of infinity represented by the R^6 and someone qualitatively superior to that level would be baseline Complex Multiverse level (Tier 1-C).
In the same vein a space being qualitatively superior to another space, means that destroying that space would land you on a higher level of infinity in the
Tiering System than destroying the space it is superior to.
In rough terms it means as much as being "more than countably infinite times greater in power or size".