Combinatorial Grassmannians

• Autorzy: Andrzej Owsiejczuk
• Języki publikacji: EN

Abstrakty

EN

In the paper I construct the configuration G which is a partial linear space. It consists of k-element subsets of some base set as points and (k + 1)-element subsets as lines. The incidence is given by inclusion. I also introduce automorphisms of partial linear spaces and show that automorphisms of G are generated by permutations of the base set.

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2007
• Tom: 15
• Numer: 2
• Strony: 27-33

Daty

wydano

2007-01-01

online

2008-06-09

Twórcy

autor

Andrzej Owsiejczuk

• Białystok, Poland

Bibliografia

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• [3] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.
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• [8] Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165-167, 1990.
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• [11] Beata Padlewska. Families of sets. Formalized Mathematics, 1(1):147-152, 1990.
• [12] Andrzej Trybulec. Subsets of complex numbers. To appear in Formalized Mathematics.
• [13] Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115-122, 1990.
• [14] Andrzej Trybulec. Enumerated sets. Formalized Mathematics, 1(1):25-34, 1990.
• [15] Andrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9-11, 1990.
• [16] Wojciech A. Trybulec. Axioms of incidency. Formalized Mathematics, 1(1):205-213, 1990.
• [17] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
• [18] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.
• [19] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.

Identyfikatory

DOI

10.2478/v10037-007-0004-9