Triangulations of monotone families I: two-dimensional families
نویسندگان
چکیده
منابع مشابه
Triangulations of Monotone Families I: Two-dimensional Families
Let K ⊂ Rn be a compact definable set in an o-minimal structure over R, e.g., a semi-algebraic or a subanalytic set. A definable family {Sδ| 0 < δ ∈ R} of compact subsets of K, is called a monotone family if Sδ ⊂ Sη for all sufficiently small δ > η > 0. The main result of the paper is that when dimK ≤ 2 there exists a definable triangulation of K such that for each (open) simplex Λ of the trian...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2015
ISSN: 0024-6115
DOI: 10.1112/plms/pdv052