Chop the red cabbage into small pieces, no more than 1 & ½ cm wide (about 1/2-inch), and remove the tough parts; then rinse and drain.
Combine the following in a medium to large saucepan: vinegar, bay leaf, cinnamon, cloves, salt, pepper, sugar, and drained red cabbage.
Cover the saucepan with a lid and place it over medium heat for 10 minutes.
Lower the heat and cook for about 45 minutes, or until the cabbage becomes tender --- mix it from time to time.
Core and chop the apple into small cubes, but leave the skin on.
Add the chopped apple to the cabbage and mix.
Continue simmering for fifteen more minutes, then remove the cover.
Cook until the liquid has been reduced, and it looks like a thick glaze coating the red cabbage --- it typically takes about ten to fifteen more minutes.
Taste and adjust the seasoning by adding salt, sugar, and ground pepper.
Take your braised red cabbage off the heat and serve!