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The normal cycle of a compact definable set

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Abstract

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.

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Authors and Affiliations

  1. Département de Mathématiques, Chemin du Musée 23, 1700, Fribourg, Switzerland

    Andreas Bernig

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  1. Andreas Bernig
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Supported by the Schweizerischer Nationalfonds grant SNF 200020-105010/1.

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Bernig, A. The normal cycle of a compact definable set. Isr. J. Math. 159, 373–411 (2007). https://doi.org/10.1007/s11856-007-0052-4

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  • DOI: https://doi.org/10.1007/s11856-007-0052-4

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