Results 1 to 10 of about 86 (61)
On the construction of coordinates for non-desarguesian complemented modular lattices. II
Fryer, K.D., Halperin, Israel
openaire +4 more sources
A SIMPLIFIED PROOF OF VON NEUMANN'S COORDINATIZATION THEOREM. [PDF]
Halperin I.
europepmc +1 more source
Algebraic Theory of Continuous Geometries. [PDF]
Neumann JV.
europepmc +1 more source
Continuous Rings and Their Arithmetics. [PDF]
Neumann JV.
europepmc +1 more source
On sensitivity in bipartite Cayley graphs [PDF]
Huang proved that every set of more than half the vertices of the $d$-dimensional hypercube $Q_d$ induces a subgraph of maximum degree at least $\sqrt{d}$, which is tight by a result of Chung, Füredi, Graham, and Seymour.
Garcia-Marco, Ignacio, Knauer, Kolja
core +5 more sources
The Class of Non-Desarguesian Projective Planes is Borel Complete [PDF]
For every infinite graph $\Gamma$ we construct a non-Desarguesian projective plane $P^*_{\Gamma}$ of the same size as $\Gamma$ such that $Aut(\Gamma) \cong Aut(P^*_{\Gamma})$ and $\Gamma_1 \cong \Gamma_2$ iff $P^*_{\Gamma_1} \cong P^*_{\Gamma_2 ...
Paolini, Gianluca
core +2 more sources
Poisson spaces with a transition probability [PDF]
The common structure of the space of pure states $P$ of a classical or a quantum mechanical system is that of a Poisson space with a transition probability.
Landsman, N. P.
core +6 more sources
Highest weight modules and polarized embeddings of shadow spaces [PDF]
Let Gamma be the K-shadow space of a spherical building Delta. An embedding V of Gamma is called polarized if it affords all "singular" hyperplanes of Gamma. Suppose that Delta is associated to a Chevalley group G. Then Gamma can be embedded into what we
Rieuwert J. Blok, Rieuwert J. Blok
core +2 more sources
Sperner property and finite-dimensional Gorenstein algebras associated to matroids [PDF]
We prove the Lefschetz property for a certain class of finite-dimensional Gorenstein algebras associated to matroids. Our result implies the Sperner property of the vector space lattice.
Maeno, Toshiaki, Numata, Yasuhide
core +3 more sources
Beyond abstract elementary classes : On the model theory of geometric lattices [PDF]
Based on Crapo’s theory of one point extensions of combinatorial geometries, we find various classes of geometric lattices that behave very well from the point of view of stability theory.
Hyttinen, Tapani, Paolini, Gianluca
core +3 more sources

