  Remembering the foundational contributions of Peter Freund to supergravity,
and especially to the problems of dimensional compactification, reduction is
considered with a non-compact space transverse to the lower dimensional theory.
The known problem of a continuum of Kaluza-Klein states is avoided here by the
occurrence of a mass gap between a single normalizable zero-eigenvalue
transverse wavefunction and the edge of the transverse state continuum. This
style of reduction does not yield a formally consistent truncation to the lower
dimensional theory, so developing the lower-dimensional effective theory
requires integrating out the Kaluza-Klein states lying above the mass gap.
