Normal triangulations in o-minimal structures

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Normal triangulations in o-minimal structures

We work over an o-minimal expansion of a real closed field R. Given a closed simplicial complex K and some definable subsets S1, . . . , Sk of its realization |K| in R we prove that there exists a triangulation (K , φ) of |K| compatible with S1, . . . , Sk such thatK ′ is a subdivision of K and φ is definably homotopic to id|K|.

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ژورنال

عنوان ژورنال: The Journal of Symbolic Logic

سال: 2010

ISSN: 0022-4812,1943-5886

DOI: 10.2178/jsl/1264433921