Faculté des sciences

The normal cycle of a compact definable set

Bernig, Andreas

In: Israel Journal of Mathematics, 2007, vol. 159, no. 1, p. 373-411

An elementary construction of the normal cycle of a compact definable set in Euclidean space (and more generally of a compactly supported constructible function) is given. Here “definable” means definable in some o-minimal structure. The construction is based on the notion of support function and uses only basic o-minimal geometry. Plus

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    Summary
    An elementary construction of the normal cycle of a compact definable set in Euclidean space (and more generally of a compactly supported constructible function) is given. Here “definable” means definable in some o-minimal structure. The construction is based on the notion of support function and uses only basic o-minimal geometry.