Make slits in bratwurst at 1-inch intervals, cutting to, but not through, opposite side. Set aside.
In a 12-inch skillet combine cabbage, water, onion, carrot, caraway seed, pepper, and salt. Arrange bratwurst atop cabbage mixture. Bring to boiling; reduce heat. Cover and simmer for 10 to 15 minutes or until cabbage is tender and bratwurst is heated through.
Remove bratwurst from skillet; keep warm. Drain cabbage mixture. Add Swiss cheese to cabbage. Stir over low heat until cheese is melted. Serve cabbage with bratwurst. Makes 4 servings.