**DIPS 1/2007**[tex source, PostScript, PDF file, dvi]-
**Title:**Iterated Differential Forms V:*C*-Spectral Sequence on J^{∾}(π).**Authors:**A. M. Vinogradov and L. VitaglianoIn the preceding note (see DIPS 5/06, or math.DG/0610917) the Λ

_{k-1}*C*-spectral sequence, whose first term is composed of*secondary iterated differential forms*, was constructed for a generic diffiety. In this note the zero and first terms of this spectral sequence are explicitly computed for infinite jet spaces. In particular, this gives an explicit description of secondary covariant tensors on these spaces and some basic operations with them. On the basis of these results a description of the Λ_{k-1}*C*-spectral sequence for infinitely prolonged PDE's will be given in the subsequent note.

See also arXiv: math.DG/0703661.

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