Triangulations of subanalytic sets and locally subanalytic manifolds
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- by M. Shiota and M. Yokoi PDF
- Trans. Amer. Math. Soc. 286 (1984), 727-750 Request permission
Abstract:
If two polyhedrons are locally subanalytically homeomorphic (that is, the graph is locally subanalytic), they are ${\text {PL}}$ homeomorphic. A locally subanalytic manifold is one whose coordinate transformations are locally subanalytic. It is proved that a locally subanalytic manifold has a unique ${\text {PL}}$ manifold structure. A semialgebraic manifold also is considered.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 286 (1984), 727-750
- MSC: Primary 32B20; Secondary 57Q15
- DOI: https://doi.org/10.1090/S0002-9947-1984-0760983-2
- MathSciNet review: 760983