Two days later Frost arrived at his most anticipated destination, the monster lair branching across the Gamma sector and the Epsilon sector, commonly known as [beginner's ice magic]. The name playfully based upon the fact that the monsters contained use low level ice magic. Primarily 1st circle and a few 2nd circle spells.
Not all monster lairs receive names, only those that have existed for a while, reach a certain size and or guests, have special monsters and or materials gain such a privilege. This [beginner's ice magic] is a long standing dungeon of smallish size that became quite popular over the years given its defenders. It's seen as the perfect monster lair for those of low level and with little experience in dealing with magic users. Frost of course would be considered rather high level and given his ice affinity in very low danger but still it should prove entertaining.