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Arrangement of Hyperplanes
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Details
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131254734
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- Größe H220mm x B220mm
- EAN 9786131254734
- Format Fachbuch
- Titel Arrangement of Hyperplanes
- Herausgeber Betascript Publishing
- Anzahl Seiten 100
- Genre Mathematik
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