<p>A magnet system, in particular for a magnetic resonance examination system, comprises a superconductive main magnet having a near group of coil windings and a remote group of coil windings. A gradient coil system forms a source of power dissipation into at least part of the coil windings. The near group of coil windings and the remote group of coil windings are near and remote from the source of power dissipation, respectively A cooling system has a high-temperature cooling station and a low-temperature cooling station. The high-temperature cooling station cools mainly the near group of coil windings. The low temperature cooling station cools mainly the remote group of coil windings. The near and remote group optionally are made of different superconductive materials. Thus, additional degrees of freedom are achieved which allow less expensive magnet design.</p>