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CURVES WHICH INTERSECT LINES IN FINITE SETS

Published online by Cambridge University Press:  09 April 2001

ROBBERT FOKKINK
ROBBERT FOKKINK
Affiliation:
Delft University, Faculty of Mathematics, P.O. Box 5031, 2600 GA Delft, The Netherlands; e-mail: [email protected]
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Abstract

We study closed subsets in the plane which intersect each line in at least m points and at most n points, for which we try to minimize the difference n – m. It is known that m cannot be equal to n. The results in this paper show that for every even number n there exist closed sets in the plane for which m = n – 2.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 2 , March 2001 , pp. 221 - 227
Copyright
© The London Mathematical Society 2001

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