Rupert
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Registered User
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I am doing a post-doctoral research position about topological buildings and topological groups at the University of Münster.
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Jan 11 |
awarded | ● Autobiographer |
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Jan 11 |
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A Problem about affine transformation I thank woodbass for pointing out the error in Theorem 3.1 of my thesis. I have been pondering these issues since he sent me that message, and I believe I have a modified statement which is true: namely, a map $RP^{n}\rightarrow RP^{n}$ preserving collineaity, whose image contains at least $n+2$ points any $n+1$ of which are in general position, is an element of $PGL(n,R)$. I hope to write up the proof of this soon. I also believe that I can answer the question originally posed in this thread in the affirmative. I will communicate with woodbass about this shortly. |
