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- W3124656845 abstract "We show that every semialgebraic set admits a semialgebraic triangulation such that each closed simplex is $C^1$ differentiable. As an application, we give a straightforward definition of the integration $int_X omega$ over a compact semialgebraic subset $X$ of a differential form $omega$ on an ambient algebraic manifold, that provides a significant simplification of the theory of semialgebraic singular chains and integrations. Our results hold over every (possibly non-archimedian) real closed field." @default.
- W3124656845 created "2021-02-01" @default.
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- W3124656845 date "2017-06-27" @default.
- W3124656845 modified "2023-10-16" @default.
- W3124656845 title "C1-triangulations of semialgebraic sets" @default.
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- W3124656845 doi "https://doi.org/10.1112/topo.12024" @default.
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