Normal triangulations in o-minimal structures

Details Normal triangulations in o-minimal structures Normal triangulations in o-minimal structures

2007-10-30

arxiv.org/abs/0710.5718v1

Mathematics

Logic

Scientific paper

We work over an o-minimal expansion of a real closed field R. Given a closed
simplicial complex K and a finite number of definable subsets of its
realization |K| in R we prove that there exists a triangulation (K',f) of |K|
compatible with the definable subsets such that K' is a subdivision of K and f
is definably homotopic to the identity on |K|.

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