Difference between revisions of "Diffeomorphism"
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A '''diffeomorphism''' is an infinitely [[derivative|differentiable]] [[homeomorphism]] with an infinitely differentiable inverse. | A '''diffeomorphism''' is an infinitely [[derivative|differentiable]] [[homeomorphism]] with an infinitely differentiable inverse. | ||
| + | Put another way, a diffeomorphism is a type of function that satisfies the following condition: both the function and its inverse have continuous mixed partial derivatives of all orders in neighborhoods of every possible point. | ||
[[category: mathematics]] | [[category: mathematics]] | ||
Revision as of 04:09, October 1, 2009
Template:Stub A diffeomorphism is an infinitely differentiable homeomorphism with an infinitely differentiable inverse.
Put another way, a diffeomorphism is a type of function that satisfies the following condition: both the function and its inverse have continuous mixed partial derivatives of all orders in neighborhoods of every possible point.