Dimension in diffeology |
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| Authors: | Patrick Iglesias-Zemmour |
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| Institution: | aCNRS, France;bEinstein Institute, The Hebrew University of Jerusalem, Campus Givat Ram, Jerusalem 91904, Israel |
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| Abstract: | We define the dimension function for diffeological spaces, a simple but new invariant. We show then how it can be applied to prove that, for two different integers m and n the quotient spaces Rm/O(m) and Rn/O(n) are not diffeomorphic, and not diffeomorphic to the half-line 0, ∞ R. |
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