6533b82cfe1ef96bd128e9b7

RESEARCH PRODUCT

On sets of subspaces closed under reguli

Armin Herzer

subject

Discrete mathematicsPure mathematicsDifferential geometryChain (algebraic topology)Hyperbolic geometryProjective spaceGeometry and TopologyAlgebraic geometryAlgebraic numberLinear subspaceMathematicsProjective geometry

description

Using a representation of chain geometries where points are certain subspaces of a projective space and chains are reguli, we give an algebraic description of the weak subspaces of the chain geometry (i.e. the subsets of the pointset which are closed with respect to reguli).

https://doi.org/10.1007/bf00181544