1. Spaces of piecewise linear maps. Let X and Y be separable polyhedra, X compact and Y locally compact; for the moment let them be connected and of dimension > 0 . Denoting the separable hilbert space of square-summable sequences by h, a space is an kmanifold if separable, metrizable and locally homeomorphic to k. In [4] the author showed that the space C(X, Y) of all continuous maps from X to...