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Ryan Reich
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The Brouwer Theorem can be used to prove that a mapping of ${\bf R}^n$ to itself that has {\it bounded displacement}bounded displacement, in the sense that any point is moved at most a fixed amount amount from its original location, is onto. This seems be a folklore result. I wonder if anyone has a reference for it.

The Brouwer Theorem can be used to prove that a mapping of ${\bf R}^n$ to itself that has {\it bounded displacement}, in the sense that any point is moved at most a fixed amount from its original location, is onto. This seems be a folklore result. I wonder if anyone has a reference for it.

The Brouwer Theorem can be used to prove that a mapping of ${\bf R}^n$ to itself that has bounded displacement, in the sense that any point is moved at most a fixed amount from its original location, is onto. This seems be a folklore result. I wonder if anyone has a reference for it.

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Roger Howe
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The Brouwer Theorem can be used to prove that a mapping of ${\bf R}^n$ to itself that has {\it bounded displacement}, in the sense that any point is moved at most a fixed amount from its original location, is onto. This seems be a folklore result. I wonder if anyone has a reference for it.