A solenoidal magnet section (1; 1a-1c), comprising an essentially hollow-cylindrical coil former, a high-temperature-superconductor tape and a first follow-on superconductor with a first joint between the HTS tape and the first follow-on superconductor, the coil former having a main region in which a main winding package of the HTS tape is wound in a solenoidal manner onto the coil former, the coil former also having a first lateral region which axially adjoins the main region on a first side and in which a first terminal section of the HTS tape is wound onto the coil former, the first terminal section of the HTS tape being guided in a groove (15a, 24) in the coil former at least in an axially inner section of the first lateral region, and the main winding package of the HTS tape having a largest outer radius RaH, and the coil former having a smallest inner radius RiH in the main region, characterized in that the solenoidal magnet section (1; 1a-1c) further comprises a second follow-on superconductor with a second joint to the HTS tape, in that in the first lateral region or in a second lateral region which axially adjoins the main region on a second side and lies opposite to the first side, a second terminal section of the HTS tape is wound onto the coil former, in that at least in an axially inner section of the first or the second lateral region (SB1, SB2), the second terminal section of the HTS tape is guided in a groove in the coil former, in that in an axially outer section of the first lateral region at least a part of the first terminal section of the HTS tape wound onto the coil former is connected in a laminar manner to a terminal section of the first follow-on superconductor to form the first joint and at least a part of the second terminal section of the HTS tape wound onto the coil former is connected in a laminar manner to a terminal section of the second follow-on superconductor to form the second joint, in that the coil former as a whole, the HTS tape as a whole, and the first follow-on superconductor at least in the region of the first joint, and the second follow-on superconductor at least in the region of the second joint, run within a radial range RBS of the solenoidal magnet section, where 0.80 ∗ RiH ≤ RBS ≤ 1.2 ∗ RaH, preferably 0.9 ∗ RiH ≤ RBS ≤ 1.1 ∗ RaH, particularly preferably RiH ≤ RBS ≤ RaH, and that moreover - the first joint and the second joint each extend over the entire circumference of the coil former, and/or - the first joint and the second joint each extend over an overlap length, relative to the HTS tape, of at least 0.1 m, preferably at least 0.5 m. comprising an essentially hollow-cylindrical coil former, a high-temperature-superconductor tape and a first follow-on superconductor with a first joint between the HTS tape and the first follow-on superconductor, the coil former having a main region in which a main winding package of the HTS tape is wound in a solenoidal manner onto the coil former, the coil former also having a first lateral region which axially adjoins the main region on a first side and in which a first terminal section of the HTS tape is wound onto the coil former, the first terminal section of the HTS tape being guided in a groove (15a, 24) in the coil former at least in an axially inner section of the first lateral region, and the main winding package of the HTS tape having a largest outer radius RaH, and the coil former having a smallest inner radius RiH in the main region, characterized in that the solenoidal magnet section (1; 1a-1c) further comprises a second follow-on superconductor with a second joint to the HTS tape, in that in the first lateral region or in a second lateral region which axially adjoins the main region on a second side and lies opposite to the first side, a second terminal section of the HTS tape is wound onto the coil former, in that at least in an axially inner section of the first or the second lateral region (SB1, SB2), the second terminal section of the HTS tape is guided in a groove in the coil former, in that in an axially outer section of the first lateral region at least a part of the first terminal section of the HTS tape wound onto the coil former is connected in a laminar manner to a terminal section of the first follow-on superconductor to form the first joint and at least a part of the second terminal section of the HTS tape wound onto the coil former is connected in a laminar manner to a terminal section of the second follow-on superconductor to form the second joint, in that the coil former as a whole, the HTS tape as a whole, and the first follow-on superconductor at least in the region of the first joint, and the second follow-on superconductor at least in the region of the second joint, run within a radial range RBS of the solenoidal magnet section, where 0.80 ∗ RiH ≤ RBS ≤ 1.2 ∗ RaH, preferably 0.9 ∗ RiH ≤ RBS ≤ 1.1 ∗ RaH, particularly preferably RiH ≤ RBS ≤ RaH, and that moreover - the first joint and the second joint each extend over the entire circumference of the coil former, and/or - the first joint and the second joint each extend over an overlap length, relative to the HTS tape, of at least 0.1 m, preferably at least 0.5 m. - the first joint and the second joint each extend over the entire circumference of the coil former, and/or - the first joint and the second joint each extend over an overlap length, relative to the HTS tape, of at least 0.1 m, preferably at least 0.5 m.