Preheat the oven to 450 degrees F.
Flour a rolling pin and roll the pastry into an 11-inch circle on a lightly floured surface. Transfer it to a parchment-lined or sprayed baking sheet.
For the filling, peel, core, and slice the apples.
Mix the flour, sugar, salt, and ground cinnamon ingredients for the filling
Toss the apple slices with the mixture.
Cover the dough with the apples leaving a 2 inch border.
For the topping combine the flour, sugar, salt, cinnamon, and allspice in the bowl of a food processor fitted with a steel blade.
Add the butter and pulse until the mixture is crumbly.
Pour into a bowl and rub it with your fingers until it starts holding together.
Sprinkle evenly on the apples.
Gently fold the border over the apples to enclose the dough, pleating it to make a circle.
Bake the crostata for 20 to 30 minutes, until the crust is golden, and the apples are tender.
Allow to cool.
Serve warm or at room temperature.