Abstract

For a compact, smooth Cr orbifold (without boundary), we show that the topological structure of the orbifold diffeomorphism group is a Banach manifold for 1 ≤ r < ∞ and a Fréchet manifold if r = ∞. In each case, the local model is the separable Banach (Fréchet) space of Cr (C, resp.) orbisections of the tangent orbibundle.

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URL: http://digitalcommons.calpoly.edu/math_fac/108