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- W3100607954 abstract "Abstract Let G be a Lie group, and let M be a smooth proper G -manifold. Let M/G denote the orbit space, and let π : M → M/G be the natural map. It is known that M/G is homeomorphic to a polyhedron. In the present paper we show that there exist a piecewise linear (PL) manifold P, a polyhedron L , and homeomorphisms τ : P → M and σ : M/G → L such that σ o π o τ is PL. This is an application of the theory of subanalytic sets and subanalytic maps of Shiota. If M and the G -action are, moreover, subanalytic, then we can choose τ and σ subanalytic and P and L unique up to PL homeomorphisms." @default.
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- W3100607954 date "2013-12-01" @default.
- W3100607954 modified "2023-10-18" @default.
- W3100607954 title "Triangulation of the map of a G-manifold to its orbit space" @default.
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- W3100607954 doi "https://doi.org/10.1215/00277630-2366201" @default.
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