A GENERALIZATION OF THE MAIN THEOREM OF THE PROJECTIVE MAPS IN TWO-DIMENSIONAL REAL PLANES

A GENERALIZATION OF THE MAIN THEOREM OF THE PROJECTIVE MAPS IN TWO-DIMENSIONAL REAL PLANES

This paper proves J. Bognár's conjecture that if the range of a transformation of thereal projective plane is the whole plane and this transformation holds the collinearity of anythree points of the plane then this transformation is a one to one mapping.

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Veröffentlicht in:Periodica polytechnica. Civil engineering. Bauingenieurwesen 1983-01, Vol.27 (1-2), p.89
1. Verfasser: Kertész, Gábor
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper proves J. Bognár's conjecture that if the range of a transformation of thereal projective plane is the whole plane and this transformation holds the collinearity of anythree points of the plane then this transformation is a one to one mapping.
ISSN:0553-6626
1587-3773