Geodesic
Generalization of a theorem of Steinhaus
C. Cobeli1 ; G. Groza2 ; M. Vâjâitu1 ; A. Zaharescu3
1Institute of Mathematics of the Romanian Academy P.O. Box 1-764 Bucureşti 70700, Romania
2Technical University of Civil Engineering Lacul Tei 124 Bucureşti 72302, Romania
3Department of Mathematics University of Illinois at Urbana-Champaign 1409 W. Green St. Urbana, IL 61801, U.S.A.
Colloquium Mathematicum, Tome 92 (2002) no. 2, pp. 257-266
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We present a multidimensional version of the Three Gap Theorem of Steinhaus, proving that the number of the so-called primitive arcs is bounded in any dimension.
DOI : 10.4064/cm92-2-9
Keywords: present multidimensional version three gap theorem steinhaus proving number so called primitive arcs bounded dimension

C. Cobeli  1   ; G. Groza  2   ; M. Vâjâitu  1   ; A. Zaharescu  3

1 Institute of Mathematics of the Romanian Academy P.O. Box 1-764 Bucureşti 70700, Romania
2 Technical University of Civil Engineering Lacul Tei 124 Bucureşti 72302, Romania
3 Department of Mathematics University of Illinois at Urbana-Champaign 1409 W. Green St. Urbana, IL 61801, U.S.A. 
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C. Cobeli; G. Groza; M. Vâjâitu; A. Zaharescu. Generalization of a theorem of Steinhaus. Colloquium Mathematicum, Tome 92 (2002) no. 2, pp. 257-266. doi: 10.4064/cm92-2-9

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