%0 Journal Article %T Operational resolutions and state transitions in a categorical setting %A Bob Coecke %A Isar Stubbe %J Physics %D 2000 %I arXiv %R 10.1023/A:1021626704772 %X We define a category with as objects operational resolutions and with as morphisms - not necessarily deterministic - state transitions. We study connections with closure spaces and join-complete lattices and sketch physical applications related to evolution and compoundness. An appendix with preliminaries on quantaloids is included. %U http://arxiv.org/abs/quant-ph/0008020v1