A long and winding road to definable sets

Journal of Singularities
volume 13 (2015), 57-86

Received 29 August 2013. Received in revised form 20 January 2014.

DOI: 10.5427/jsing.2015.13d

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Abstract:

We survey the development of o-minimal structures from a geometric point of view and compare them with subanalytic sets insisting on the differences. The idea is to show the long way from semi-analytic to definable sets, from normal partitions to cell decompositions. Some recent results are discussed in the last section.

Keywords:

Tame geometry, subanalytic sets, o-minimal structures

Mathematical Subject Classification:

32B20

Author(s) information: