Canonical partition relations for (m, p, c)-systems Original Research Article

By an (m, p, c)-system we mean a choice of an (m, p, c)-set for each (m, p, c) ϵ N3 together with all finite sums choosing at most one number from each (m, p, c)-set. Here we investigate the canonical situation for arbitrary colorings of an (m, p, c)-system.