A cellular superconducting material consisting of thin (1-20 mu m) MgB2-x layers and magnesium granules of about 100 mu m has been produced. The critical temperature T (c) of this superconductor decreases with the thickness of the MgB2-x layers. In unalloyed magnesium diboride, the curvature of the temperature dependence of the upper critical field H (c2)(T) changes gradually from downward to pronounced upward as the temperature T (c) decreases from 38 to 36 K.