Braised Cabbage

1-2 tablespoons olive oil
1 onion, sliced
1 small to medium head of cabbage, sliced or shredded but not too finely
4 teaspoons apple cider vinegar
1/2 cup water or broth
1-2 teaspoons caraway seeds
1 medium apple, cored, peeled and sliced thinly
salt to taste
4 teaspoons sugar or sugar substitute equivalent

Heat oil.  Add onions and brown.  Add cabbage and brown.  Add apple cider vinegar, water, caraway seeds.  Heat for about 10 minutes.  Add apple slices.  Cook until tender.  Salt to taste.  Cook an additional 15 minutes.  Add sugar and serve.

Notes:

You can use green or red cabbage for this.