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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Simplicial structure of the real analytic cut locus


Author: Michael A. Buchner
Journal: Proc. Amer. Math. Soc. 64 (1977), 118-121
MSC: Primary 53C20; Secondary 32B20, 57D70
DOI: https://doi.org/10.1090/S0002-9939-1977-0474133-5
MathSciNet review: 0474133
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Abstract: This note shows how to generalize to arbitrary dimensions the result of S.B. Myers that the cut locus in a real analytic Riemannian surface is triangulable. The basic tool is Hironaka's theory of subanalytic sets.


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DOI: https://doi.org/10.1090/S0002-9939-1977-0474133-5
Article copyright: © Copyright 1977 American Mathematical Society

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