A subanalytic triangulation theorem for real analytic orbifolds

2011/05/01 by Marja Kankaanrinta, Kankaanrinta, Marja
Mathematics · #57R05 #57R18 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57R05 #msc:57R18

paper · pdf · doi:10.48550/arxiv.1105.0209

Made a minor change

arxiv created 2011/06/05 · arxiv updated 2011/06/07

Abstract

Let X be a real analytic orbifold. Then each stratum of X is a subanalytic subset of X. We show that X has a unique subanalytic triangulation compatible with the strata of X. We also show that every \rm C^r-orbifold, 1≤ r≤ ∞, has a real analytic structure. This allows us to triangulate differentiable orbifolds. The results generalize the subanalytic triangulation theorems previously known for quotient orbifolds.

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