We present ROSAT Position Sensitive Proportional Counter (PSPC) pointed obs
ervations of the Cygnus Loop supernova remnant in two broad soft X-ray band
s, characteristic of energies 0.25 and 1.25 keV. The spatial differences be
tween the bands are obvious in an X-ray softness map, which is the ratio of
the 0.25 and 1.25 keV emission. The most striking feature of the softness
map is a spatially thin (< 5') shell that we detect around the entire rim o
f the supernova remnant. It is not an observational artifact, for the angul
ar extent is greater than the instrumental resolution. Several known intera
ctions with large interstellar clouds are prominent in the softest emission
, and the brightest X-ray emission associated with these clouds appears to
the interior of these soft features. We conclude that over most of the blas
t wave, genuinely lower temperatures behind slower shocks soften the X-ray
spectrum, and this occurs where the cavity walls of the Cygnus Loop deceler
ate the blast wave.