2019 seminar talk: Measures and o-minimal structures

Talk held by Jana Maříková (Western Illinois University, Macomb, USA) at the KGRC seminar on 2019-11-07.


O-minimal structures are structures with a dense linear order such that as few subsets of the line are definable as possible. This condition forces definable sets in all dimensions to behave in a topologically tame fashion. But while many properties from semialgebraic geometry carry over to the o-minimal setting, the question whether one has a theory of integration in any o-minimal structure is still open. We shall discuss some partial answers and suggest a possible future direction.

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Kurt Gödel Research Center for Mathematical Logic. Währinger Straße 25, 1090 Wien, Austria. Phone +43-1-4277-50501. Last updated: 2010-12-16, 04:37.