A diffeomorphic field, is a field -- in which all of the component eigenstates, that work to comprise such a said field, are here to work to bear the Same Type Of A Covariant Distribution, at their individually taken delineations, as this is here to be taken, along the Riemann surface, of such an inferred topological manifold, that is here to work to bear the general characteristic, of behaving as exhibiting the nature of such a diffeomorphic field.
Whereas; a homeomorphic field, may be:
1) A Fourier-Related field, in which the time-related flow between two or more different metric-related spatial eigenstates, that are here to work to comprise such a said field, are here to work to bear the same tense of a hermitian distribution, at their respective individually taken delineations. OR;
2) A Laplacian-Related field, in which the non-time-related flow, (as in metaphorically acting, as a "snapshot" of a traceable flow, of what is here to be going on in such a general type of a case), between two or more different metric-related spatial eigenstates, that are here to work to comprise such a said field, are here to work to bear the same tense of a hermitian distribution, at their respective individually taken delineations. OR;
3) A mappable relationship, that is to be configured, between two different structures, of which are here to both work to bear the same tense of a hermitian distribution, at their respective individually taken delineations. I WILL CONTINUE WITH THE SUSPENSE LATER! SINCERELY, SAMUEL.
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