Therefore some subsequence has every term in K j . Since K j is compact, it follows that the subsequence has a subsequence converging to a limit in K j , which must then belong to the union K. But this subsequence is itself a subsequence of the sequence that we started with. The latter is therefore seen to have a subsequence converging to a limit in K.
KeywordsPartial Derivative Constraint Function Wedge Product Inverse Function Theorem Invertibility Condition
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