Difference Between A Homomorphic Field And A Homeomorphic Field

 The difference between the general characteristic that works to describe a homomorphic field, and, the general characteristic that works to describe a homeomorphic field, is that a homomorphic field is a configured mappable symmetric field, that is isotropically stable, (to where it is here to work to bear a tense of group action), -- whereas, a homeomorphic field, may either be a field that is comprised of two or more different metric-related spatial eigenstates, that work to bear the same tense of a hermitian distribution, at their respective individually taken delineations; Or, it may also be thought of as being a mappable relationship, between two different structural configurations, that are here to both work to bear the same tense of a hermitian distribution, at their respective individually taken delineations. Sam Roach.

Fundamental Difference Between Singularities

The main general difference that there is -- between a Lagrangian-based Chern-Simons singularity and a metrical-based Chern-Simons singularity, -- is that a Lagrangian-based Chern-Simons singularity has more to do with a perturbation in the flow of the motion of discrete energy, whereas, a metrical-based Chern-Simons singularity has more to do with a perturbation in the pulsation of the motion of discrete energy.  To Be Continued!  Sincerely, Samuel David Roach.