La distance de Caratheodory sur un produit continu de domaines bornes Jean-Pierre Vigue 32F4546G20Carath\'eodory distanceinfinitesimal Carath\'eodory metric on continuous products of domainsdistance de Carath\'eodory In this paper, I prove for the Carath\'eodory distance on a continuous product $B$ of domains $(B_{s})_{s \in S}$ the formula: $$c_{B}(f,g) = \max_{s \in S} c_{B_{s}}(f(s),g(s)).$$ Indiana University Mathematics Journal 2006 text pdf 10.1512/iumj.2006.55.2696 10.1512/iumj.2006.55.2696 en Indiana Univ. Math. J. 55 (2006) 895 - 902 state-of-the-art mathematics http://iumj.org/access/