Closed subset of projective plane

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This term is related to: incidence geometry
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Template:Projective plane-subset property

Definition

A subset of (the point-and-line-set of) a projective plane is said to be closed if it satisfies the following:

  • Given any two points in the subset, the line incident with them is also in the subset
  • Given any two lines in the subset, the point incident with them is also in the subset

Relation with other properties

Stronger properties