Is there such a thing as transfinite geometry?

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brianhurren
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just a simple question, is there such a thing as Transfinite geometry?
 

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There is geometry in infinite dimensional spaces. I would opine that Hibert spaces don't count as transfinite geometry.
 
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Hornbein said:
There is geometry in infinite dimensional spaces.
I agree, but I don't think that there is such a thing as transfinite geometry.