Oriented Matroids

GPTKB entity

Statements (41)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application gptkb:combinatorial_geometry
optimization
linear programming
discrete geometry
oriented graphs
topological representation theorem
gptkbp:definedIn circuits
axioms on sign vectors
chirotopes
covectors
gptkbp:field gptkb:geometry
gptkb:topology
matroid theory
combinatorics
gptkbp:hasProperty studied since 1970s
abstracts hyperplane arrangements
can be non-realizable
captures orientation information
finite set system
generalizes matroids
studied in algebraic combinatorics
studied in computational geometry
studied in discrete mathematics
used in topological representation theorem
https://www.w3.org/2000/01/rdf-schema#label Oriented Matroids
gptkbp:introduced gptkb:Michel_Las_Vergnas
gptkb:Günter_M._Ziegler
gptkb:Bernd_Sturmfels
gptkb:Anders_Björner
gptkb:Neil_White
gptkbp:notableWork gptkb:Matroid_Theory_(book)
gptkb:Handbook_of_Combinatorics
Oriented Matroids (book)
gptkbp:relatedTo convex polytopes
matroids
hyperplane arrangements
realizability
sign vectors
gptkbp:bfsParent gptkb:Anders_Björner
gptkbp:bfsLayer 6