Résumé : The elastic and inelastic {Mathematical expression}p cross sections at 70 GeV/c have been determined in an experiment performed at CERN using BEBC equipped with a TST. The topological cross sections were measured and the moments of the inelastic multiplicity distribution are 〈nc〉=6.16±0.09, 〈nc〉/D=2.04±0.05 and f2cc=2.97±0.03. The average number of Dalitz pairs per inelastic event is (3.12±0.09)×10-2. Assuming that these all arise from π0 decay the average π0 multiplicity is {Mathematical expression}. The {Mathematical expression}p-pp cross section differences lead to an annihilation cross section σA = 4.42±0.41 mb and the moments of the annihilation multiplicty distribution are 〈nA〉=8.0±0.3, 〈nA〉/D=2.5±0.2 and f2A--=-1.4±0.3. An independent check of σA was made by investigating fast forward charged and neutral secondary interactions in the TST and in the surrounding neon-hydrogen mixture, and gives a value σA = 5.0±1.6 mb. The ratio of fast {Mathematical expression} to {Mathematical expression} production in non-annihilation interactions at 70 GeV/c is found to be 0.45±0.11. © 1982 Springer-Verlag.