We summarize our results concerning p-brane propagation through the singularity of the compactified Milne (CM) space. In particular, we present classical and quantum dynamics of a string. We also present our preliminary results on the propagation of a membrane. The CM space seems to be a promising model of the neighborhood of the cosmological singularity deserving further examinations.

PACS numbers: 98.80.Jk, 11.25.Wx, 98.80.Qc