Aernout C.D. van Enter, Senya B. Shlosman. (Almost) Gibbsian description of the sign-fields of SOS-fields. (445K, postscript) ABSTRACT. An example is presented of a measure on a lattice system which has a measure zero set of points (configurations) where some conditional probability can be discontinuous, but does not become a Gibbs measure under decimation (or other) transformations. We also discuss some related issues