In a large, heavy-bottomed pot, heat the oil over medium heat and add the onion, garlic, and jalapeño. Sauté until the onion is translucent, about 3 minutes.
Reduce the heat to medium-low, and add the cabbage, carrots, thyme, allspice, and salt. Stir well and cook until the cabbage is tender, about 20 minutes, stirring occasionally. If the cabbage starts to dry out, add 2-4 tablespoons of water. Be careful not to burn it.
Stir in the pepper, taste for seasoning, and add more salt if desired. Enjoy hot!
