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- Arrangement_of_hyperplanes abstract "In geometry and combinatorics, an arrangement of hyperplanes is a finite set A of hyperplanes in a linear, affine, or projective space S. Questions about a hyperplane arrangement A generally concern geometrical, topological, or other properties of the complement, M(A), which is the set that remains when the hyperplanes are removed from the whole space. One may ask how these properties are related to the arrangement and its intersection semilattice.The intersection semilattice of A, written L(A), is the set of all subspaces that are obtained by intersecting some of the hyperplanes; among these subspaces are S itself, all the individual hyperplanes, all intersections of pairs of hyperplanes, etc. (excluding, in the affine case, the empty set). These subspaces are called the flats of A. L(A) is partially ordered by reverse inclusion. If the whole space S is 2-dimensional, the hyperplanes are lines; such an arrangement is often called an arrangement of lines. Historically, real arrangements of lines were the first arrangements investigated. If S is 3-dimensional one has an arrangement of planes.".
- Arrangement_of_hyperplanes wikiPageID "864438".
- Arrangement_of_hyperplanes wikiPageRevisionID "597561017".
- Arrangement_of_hyperplanes hasPhotoCollection Arrangement_of_hyperplanes.
- Arrangement_of_hyperplanes id "A/a110700".
- Arrangement_of_hyperplanes title "Arrangement of hyperplanes".
- Arrangement_of_hyperplanes subject Category:Combinatorics.
- Arrangement_of_hyperplanes subject Category:Discrete_geometry.
- Arrangement_of_hyperplanes subject Category:Oriented_matroids.
- Arrangement_of_hyperplanes comment "In geometry and combinatorics, an arrangement of hyperplanes is a finite set A of hyperplanes in a linear, affine, or projective space S. Questions about a hyperplane arrangement A generally concern geometrical, topological, or other properties of the complement, M(A), which is the set that remains when the hyperplanes are removed from the whole space.".
- Arrangement_of_hyperplanes label "Arrangement of hyperplanes".
- Arrangement_of_hyperplanes sameAs m.03jlnb.
- Arrangement_of_hyperplanes sameAs Q4795851.
- Arrangement_of_hyperplanes sameAs Q4795851.
- Arrangement_of_hyperplanes wasDerivedFrom Arrangement_of_hyperplanes?oldid=597561017.
- Arrangement_of_hyperplanes isPrimaryTopicOf Arrangement_of_hyperplanes.