On a class of hyperplanes of the symplectic and Hermitian dual polar spaces.
De Bruyn, Bart (2009)
The Electronic Journal of Combinatorics [electronic only]
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De Bruyn, Bart (2009)
The Electronic Journal of Combinatorics [electronic only]
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Steinbach, Anja (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Ishii, Kazuaki (2011)
The Electronic Journal of Combinatorics [electronic only]
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Lehman, Serge (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Sasha Anan’in, Carlos Grossi (2012)
Open Mathematics
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Using the Plücker map between grassmannians, we study basic aspects of classic grassmannian geometries. For ‘hyperbolic’ grassmannian geometries, we prove some facts (for instance, that the Plücker map is a minimal isometric embedding) that were previously known in the ‘elliptic’ case.
Viktor Harangi (2011)
Open Mathematics
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We say that a set in a Euclidean space does not contain an angle α if the angle determined by any three points of the set is not equal to α. The goal of this paper is to construct compact sets of large Hausdorff dimension that do not contain a given angle α ∈ (0,π). We will construct such sets in ℝn of Hausdorff dimension c(α)n with a positive c(α) depending only on α provided that α is different from π/3, π/2 and 2π/3. This improves on an earlier construction (due to several authors)...
da Fonseca, C.M. (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Bagno, Eli, Butman, Ayelet, Garber, David (2007)
The Electronic Journal of Combinatorics [electronic only]
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Grainger, Arthur D. (2003)
International Journal of Mathematics and Mathematical Sciences
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Jiří Sgall, Antonín Sochor (1991)
Commentationes Mathematicae Universitatis Carolinae
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By the technique of forcing, some new independence results are proved for the alternative set theory (AST) and similar weak theories: The scheme of choice is independent both of AST and of second order arithmetic, axiom of constructibility is independent of AST plus schemes of choice.