I'm a bit confused as to how the text(adsbygoogle = window.adsbygoogle || []).push({}); Tensor Analysis on Manifolds, by Bishop and Goldberg on page 6.

The authors define the termpower setas follows

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If A is a set, we denote byPA the collection of all subsets of A,PA = {C| C is a subset of A}.PA is called thepower setof A.

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The authors define the termpower mapas follows

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Iff: A -> B, the we define thepower mapoff,f:PA ->PB byfC = {fc|fa is an element of C} for every C which is an element ofPA}

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What is confusing to me is that nowhere in the definition does the set B occur. What role does B have in the power map?

Thank you

Pete

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# Power Map

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