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Curves which Intersect Lines in Finite Sets
Author(s) -
Fokkink Robbert
Publication year - 2001
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/33.2.221
Subject(s) - mathematics , plane (geometry) , line (geometry) , geometry , combinatorics , plane curve , finite set , mathematical analysis
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.
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