Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, October 02, 2014, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Jean Cardinal (Université Libre de Bruxelles)

General Position Subsets in d-space

In the sixties, Erdős posed the problem of finding a lower bound on the largest number of points in general position among any set of points in the plane with no four on a line. We consider variants of this question for d-dimensional point sets and generalize previously known bounds. In particular, we prove that every set of C(q^d)log q points in d-space, for some absolute constant C>0, contains q cohyperplanar points or q points in general position. This is a joint work with Csaba Tóth and David Wood.

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