  Motivated by applications in the medical sciences, we study finite chromatic
sets in Euclidean space from a topological perspective. Based on the persistent
homology for images, kernels and cokernels, we design provably stable
homological quantifiers that describe the geometric micro- and macro-structure
of how the color classes mingle. These can be efficiently computed using
chromatic variants of Delaunay and alpha complexes, and code that does these
computations is provided.
