1. Preheat oven to 400°.
2. To prepare crust, combine the first 3 ingredients in a bowl; toss with a fork until moist. Press mixture lightly into bottom of a 9-inch springform pan coated with cooking spray. Bake at 400° for 6 minutes. Remove from oven; cool on a wire rack. Wrap outside of pan with a double layer of foil. Reduce oven temperature to 325°.
3. To prepare cheesecake, place 1 3/4 cups sugar and next 7 ingredients (through fat-free cream cheese) in food processor; process until smooth. Add eggs, 1 at a time; process until blended. Pour cheese mixture into prepared pan. Place springform pan in a large roasting pan; add hot water to larger pan to a depth of 1 inch.
4. Bake at 325° for 1 hour or until cheesecake center barely moves when pan is touched. Remove from oven; let stand in water bath 10 minutes. Run a knife around outside edge of cheesecake. Remove pan from water bath; cool on a wire rack to room temperature. Cover and chill at least 8 hours.
5. To prepare topping, combine 1/3 cup sugar, 3 tablespoons water, and lemon juice in a small, heavy saucepan; cook over medium-high heat until sugar dissolves, stirring frequently. Cook 4 minutes or until golden (do not stir). Remove from heat. Add butter to pan; gently stir until butter melts. Stir in half-and-half. Cool slightly.
6. Heat a large nonstick skillet over medium-high heat. Coat pan with cooking spray. Add apple to pan; sauté 5 minutes or until lightly browned. Stir in sugar mixture and nutmeg. Serve topping with cheesecake.