  An Euclidean topological space E is homeomorphic to the subset of
delta-functions of the space D'(E) of Schwartz distributions on E. Herewith,
any smooth function of compact support on E is extended onto D'(E). One can
think of these extensions as sue generis quantum deformations. In quantum
models, one therefore should replace integration of functions over E with that
over D(E).
