Inverse Function Theorem (OBS) - 2

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This is the second in the series on Inverse Function Theorem. It deals with a proof of the second step about the function under the stated conditions being an open map. The proof we chose woks only in finite dimensional case. The reason for the choice is that it uses a lot of concepts and results one learns before reaching this result. It will be an illuminating reinforcement of the the basics.

Compare this proof with the one in Inverse Function Theorem -2.
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So nice to see my classmate of TIFR days of 1973-74 in action. Blessed to be in the friendship of such dedicated Maths genius.

VijayMentoring