A brief sleep, often during the day. To sleep for a brief period, often during the day; doze. To be unaware of imminent danger or trouble; be off guard: The civil unrest caught the police napping. A soft or fuzzy surface on fabric or leather. To form or raise a soft or fuzzy surface on (fabric or leather). To pour or put a sauce or gravy over (a cooked dish): "a stuffed veal chop napped with an elegant Port sauce\u201d ( Jay Jacobs). A card game that resembles whist. The highest bid in this game, announcing the intention to win five tricks, the maximum number in a hand. Also called napoleon. See napoleon.