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A hood is required for any cooktop regardless of a stove or not. Both produce heat, smoke, and grease. So a vent that goes outside is preferred. A full stove is a one-piece unit. So it is less expensive and only requires 1 electric line. If you go to a cooktop with a wall oven under it. Then you are limited on models, as well as the counter has to have a cutout and a base cabinet to support the wall oven. Many people like the look of two pieces, but I find a single stove will offer so many more choices and features.