Obecné konečné geometrie
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Marek Radoliński (1983)
Pokroky matematiky, fyziky a astronomie
Ballico, E., Cossidente, A. (2000)
Mathematica Pannonica
Krzysztof Oleszkiewicz (1996)
Fundamenta Mathematicae
The classical theorem of Borsuk and Ulam [2] says that for any continuous mapping there exists a point such that f(-x) = f(x). In this note a discrete version of the antipodal theorem is proved in which is replaced by the set of vertices of a high-dimensional cube equipped with Hamming’s metric. In place of equality we obtain some optimal estimates of which were previously known (as far as the author knows) only for f linear (cf. [1]).
Albrecht Beutelspacher (1983)
Mathematische Zeitschrift
Jha, V., Johnson, N.L. (1986)
International Journal of Mathematics and Mathematical Sciences
Dieter Jungnickel (1979)
Mathematische Zeitschrift
Johnson, N.L. (1982)
International Journal of Mathematics and Mathematical Sciences
Yoshiara, Satoshi, Pasini, Antonio (1993)
Beiträge zur Algebra und Geometrie
Gustav I. Lehrer (1976)
Mathematische Zeitschrift
A.A. Bruen, J.A. Thas, A. Blokhuis (1988)
Inventiones mathematicae
Blokhuis, A. (1994)
Bulletin of the Belgian Mathematical Society - Simon Stevin
Arnold Neumaier (1983)
Mathematische Zeitschrift
Kanazawa, Rie, Maruta, Tatsuya (2011)
The Electronic Journal of Combinatorics [electronic only]
Hoxha, Razim (2001)
Serdica Mathematical Journal
One of the most outstanding problems in combinatorial mathematics and geometry is the problem of existence of finite projective planes whose order is not a prime power.
Peter Lorimer (1982)
Monatshefte für Mathematik
Bader, L., Lunardon, G, Payne, S.E. (1994)
Bulletin of the Belgian Mathematical Society - Simon Stevin
L.M. Kelly, E. Boros, Zoltan Füredi (1989)
Discrete & computational geometry
Celik, Basri (2001)
International Journal of Mathematics and Mathematical Sciences
Akiyama, Kenzi, Ogawa, Masayuki, Suetake, Chihiro (2009)
The Electronic Journal of Combinatorics [electronic only]
Dieter Jungnickel (1982)
Mathematische Zeitschrift
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