A subanalytic triangulation theorem for real analytic orbifolds

作者:Kankaanrinta Maria*
来源:Topology and Its Applications, 2012, 159(5): 1489-1496.
DOI:10.1016/j.topol.2012.01.010

摘要

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 C-r-orbifold, 1 <= r <= infinity, has a real analytic structure. This allows us to triangulate differentiable orbifolds. The results generalize the subanalytic triangulation theorems previously known for quotient orbifolds.

  • 出版日期2012-3-15