Definition and properties of polar sets

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typhoonss821
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polar set...

Excuse me for my poor Latex ability. I type my question in WORD. The follow is the URL of the problem...

http://img714.imageshack.us/img714/8185/matht.jpg
 
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Something is missing. You have g1,...,gk. However the space could have gn, where n > k, and f could have it as a component.
 

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