Yes, keel-stepped mast. I used to have a boat where I could remove the mast myself - but having a rig (that you wouldn't bring sailing with you) made it easier and less dangerous to the boat. I never did take the mast down on the water.

Most larger boats in the US do not have masts you can remove without some equipment. This is because the mast is 50-60' and really heavy. Even if it is deck-stepped, you're not going to be able to do that on the water easily.