Geodesic
Borsukova Hipoteza: Matematički Problem ili Zadatak na Matematičkoj Olimpijadi
Nastava matematike, XLVI (2001) no. 1-2, p. 1

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The history and solution of the following Borsuk's hypothesis is presented: ``Each subset of positive diameter in the $d$-dimensional space can be divided into $d+1$ subsets having less diameters''. Some variants of this hypothesis were given as problems on the Tournament of Towns.
Classification : 00A35
Keywords: Borsuk's hypothesis 
Milojica Jaćimović; Žana Kovijanić. Borsukova Hipoteza: Matematički Problem ili Zadatak na Matematičkoj Olimpijadi. Nastava matematike, XLVI (2001) no. 1-2, p. 1 . http://geodesic.mathdoc.fr/item/NM_2001_XLVI_1-2_a0/
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     author = {Milojica Ja\'cimovi\'c and \v{Z}ana Kovijani\'c},
     title = {Borsukova {Hipoteza:} {Matemati\v{c}ki} {Problem} ili {Zadatak} na {Matemati\v{c}koj} {Olimpijadi}},
     journal = {Nastava matematike},
     pages = {1 },
     year = {2001},
     volume = {XLVI},
     number = {1-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/NM_2001_XLVI_1-2_a0/}
}
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