A receiving sleeve of a tool set includes a hollow body having an end face with an insertion opening for inserting a tool. The hollow body defines a longitudinal central axis and includes a plurality of inner clamping elements spaced apart in a circumferential direction. The clamping elements have punctiform or linear engagement sections at their free, radially inward protruding end portions. The engagement sections make force-fit and/or form-fit contact with the tool for holding the tool within the receiving sleeve at a radial distance from the hollow body. An inner side of the hollow body has circumferentially spaced rigid protrusions that extend axially in rib-like fashion. The inner clamping elements radially protrude further toward the longitudinal central axis of the hollow body than the rigid protrusions.
