IJPAM: Volume 80, No. 3 (2012)
FINITE SETS AND POSTULATION: FURTHER REMARKS
E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: [email protected]
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: [email protected]
Abstract. A typical statement proved here. Fix integer and
. Let
be a finite set such that
and
for each
-dimensional linear subspace
. We have
if and only if there is a hyperplane
such that
. If there is such a hyperplane
, then it is unique and
is the unique hyperplane containing the maximal number of points of
. If
, then
.
Received: July 14, 2012
AMS Subject Classification: 14N05, 15A69, 15A21
Key Words and Phrases: finite sets, linear subspace
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 80
Issue: 3