We will prove that the topological construct PRAP,
introduced by E. and R. Lowen in [9] as a numerification supercategory
of the construct PRTOP of convergence spaces and
continuous maps, admits a proper class of monoidal closed structures.
We will even show that under the assumption that there
does not exist a proper class of measurable cardinals, it admits a
proper conglomerate (i.e. one which is not codable by a class)
of mutually non-isomorphic monoidal closed structures. This
severely contrasts with the situation concerning symmetric monoidal
closed structures, because it is shown in [13] that PRAP
only admits one symmetric tensorproduct, up to natural isomorphism.
