Abstract. These lectures include an introduction to the partonic description of the proton, the photon and the 'colour singlet', as seen in inclusive and semi-inclusive DIS, in e + e − collisions, and in diffractive processes, respectively. Their formal treatment using structure, fragmentation, and fracture functions is outlined giving an insight into the perturbative QCD framework for these functions. Examples and comparisons with experimental data from LEP, HERA, and Tevatron are also covered.