A molding apparatus includes a core (3) and a female mold member (4) as well as wraparound peripheral dies (7), which are attached to the core for movement in a closing direction and completely surround the core (3). In the region of the impact areas of the peripheral dies (7) upon the female mold member (4), the impacting surfaces are configured complementary, for example planar. Each peripheral die (7) is attached laterally to the core by at least one spacer and retaining element (8, 10), with the spacer element (8) having a width which is slightly greater than a cross section of the peripheral die, so that a small gap (9) is formed between confronting surfaces of the peripheral dies and the core. The fixed tolerance gap offers the advantage that constant, minimum frictional conditions exist. The lateral attachment facilitates the replacement of individual peripheral dies (7) and temperature-based dimensional changes of the core (3) are followed by the peripheral dies, without risk of jamming.
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