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1
Put oven rack in middle position and preheat oven to 350u00b0F. Lightly butter and flour cake pan, knocking out excess flour.
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2
Peel and core apples, then cut into 1/2-inch-thick wedges.
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3
Spread softened butter in an even layer over bottom of a 12-inch heavy skillet and sprinkle with brown sugar. Add apple wedges and cook over moderate heat, without stirring, until sugar is melted and apples start to give off liquid, about 10 minutes. Cook, stirring occasionally, until apples are just tender and juices become syrupy, about 30 minutes more.
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4
Pour syrup from skillet into a small heatproof bowl, then saute apples, stirring occasionally, until caramelized and very tender, about 30 minutes more. Return syrup to apples and cook until heated through, about 2 minutes.
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5
Whisk together flour, baking powder, baking soda, salt, and spices in a bowl.
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6
Beat together butter and brown sugar in a large bowl with an electric mixer at medium speed until pale and fluffy. Beat in egg until combined. Add maple syrup, sour cream, and vanilla and beat until combined well. Reduce speed to low and add flour mixture, then mix until just incorporated.
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7
Spread batter in cake pan and bake until cake is golden brown and a wooden pick or skewer inserted in center comes out clean, 35 to 40 minutes. Cool in pan on a rack 10 minutes.
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8
Beat cream with sour cream and sugar using cleaned beaters at high speed until it just holds soft peaks.
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9
Run a thin knife around edge of pan, then invert cake onto a plate and cut into squares. Serve warm or at room temperature, topped with warm apple mixture and cream.
