University of Cambridge > Talks.cam > Topology Seminar > Topology of definite fold singularities

Topology of definite fold singularities

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  • UserOsamu Saeki (Kyushu)
  • ClockTuesday 06 March 2012, 15:00-16:00
  • HouseMR15.

If you have a question about this talk, please contact Dr Andras Juhasz.

It is known as the Reeb theorem that if a closed differentiable manifold admits a smooth function with only minima and maxima as its critical points, then the manifold is necessarily homeomorphic to the sphere. In this talk some generalizations of this theorem will be presented for smooth maps into higher dimensional Euclidean spaces. Unlike the function case, the existence of such maps strongly affects the differentiable structure of the manifold, especially in dimension four.

This talk is part of the Topology Seminar series.

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