Multiple perspectives and generalizations of the Desargues configuration

• Autorzy: Prażmowska M.
• Języki publikacji: EN

Abstrakty

EN

We introduce a class of finite confgurations, which we call combinatorial Grassmannians, and which generalize the Desargues configuration. Fundamental geome- tric properties of them are established, in particular we determine their automorphisms, correlations, mutual embedability, and prove that no one of them contains a Pascal or Pappus figure.

Słowa kluczowe

EN

linear spaces; Desargues configuration; combinatorics

PL

przestrzeń linearna; konfiguracja Desargues'a; kombinatoryka

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2006
• Tom: Vol. 39, nr 4
• Strony: 887--906
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Prażmowska M.

• Institute of Mathematics University of Białystok Akademicka 2, 15-267 Białystok, Poland,

Bibliografia

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• [10] M. Prażmowska, K. Prażmowski, Combinatorial Veronese structures, their geometry, and problems of embedability, Result. Math., to appear.
• [11] K. Prażmowski, Extensions of complete graphs to regular partial linear spaces, ZN Geometria wykreślna i grafika inżynierska, Vol 5 (1999), 63–72.
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