Path-Curvature Of A Cohomology-Related Flow -- Topological Invariance -- Homotopic Convergence

 When the path-based curvature of a cohomology-related flow, is to be spontaneously approaching a state of topological invariance, it may often be said, that such a stated cohomology, is here to tend to be expressing, a correlative tense of homotopic convergence. It follows that; When the path-based curvature of a cohomology-related flow, is to be spontaneously digressing from a state of topological invariance, it may often be said, that such a stated cohomology, is here to tend to be expressing, a correlative tense of homotopic divergence. I WILL CONTINUE WITH THE SUSPENSE LATER! TO BE CONTINUED! SINCERELY, SAM ROACH. 

Cohomology -- Homotopic Divergence / lHomotopic Convergence

 When the homotopic divergence / homotopic convergence, is here to be of a Clifford-Related nature, the directly associated mappable cohomology, will often tend to be coiled (of a helicity-related nature), as a distributional delineation. TO BE CONTINUED! SINCERELY, SAMUEL DAVID ROACH. (1989).

Hyperbolic Euclidean/Clifford Expansion

 A given arbitrary hyperbolic euclidean expansion, is often to have a relatively heightened general potential, of working to asymptotically approach its general locus of attempted convergence, in a heuristically tangential manner. Whereas; A given arbitrary hyperbolic Clifford expansion, is often to have a relatively heightened general potential, of working to asymptotically approach its general locus of attempted convergence, in an inversely tangential manner. TO BE CONTINUED! SINCERELY, SAM.

Tangential And Cotangential Flow

For any one particular superstring of discrete energy permittivity -- over the course of any given arbitrary iteration of group-related instanton, there is both a general genus of a hyperbolic tangential flow of mini-stringular segmentation emitted Outward from the core-field-density of the said string, And, a general genus of a hyperbolic cotangential flow of mini-stringular segmentation delineated Inward upon the core-field-density of the said string.  This eludes to the simultaneous mini-stringular ebbing of dual Ward-Cauchy-related conditions, (at the vantage-point of a central conipoint), of both a divergence of superstringular field indices that are brought Out of the core-field-density of such a respective given arbitrary string, And, a convergence of superstringular field indices that are brought Into the core-field-density of such a respective given arbitrary string. To Be Continued!  Sincerely, Samuel David Roach.