Preheat the oven to 350°F and lightly grease a 9 x 13-inch baking dish.
Toss the apple slices with granulated sugar, cornstarch, cinnamon, nutmeg, salt, and lemon juice until no dry starch remains. Spread evenly in the baking dish.
Stir the oats, flour, brown sugar, cinnamon, and salt together in a bowl. Cut in the cold butter until you have small crumbs and pea-size clumps.
Scatter the topping loosely over the apples without packing it down.
Bake uncovered at 350°F for 45 to 55 minutes, until the top is deep golden and thick bubbles rise near the center.
Rest for 20 minutes before serving so the filling thickens.