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An extension of the Erd?s-Szekeres theorem on large angles |
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| Authors: | I Bárány |
| Institution: | (1) Mathematical Institute of the Hungarian Academy of Sciences, P.O.B. 127, H-1364 Budapest, Hungary |
| Abstract: | The existence of a functionn(ε) (ε>0) is established such that given a finite setV in the plane there exists a subsetW⊆V, |W|<n(ε) with the property that for anyv εV\ W there are two pointsw 1,w 2 εW such that the angle ∢(w 1 vw 2)>π-ε. |
| Keywords: | 51 M 05 |
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