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Concept information

topology > algebraic topology > abstract polytope
geometry > geometric figure > polytope > abstract polytope

Preferred term

abstract polytope  

Definition(s)

  • In mathematics, an abstract polytope is an algebraic partially ordered set which captures the dyadic property of a traditional polytope without specifying purely geometric properties such as points and lines. A geometric polytope is said to be a realization of an abstract polytope in some real N-dimensional space, typically Euclidean. This abstract definition allows more general combinatorial structures than traditional definitions of a polytope, thus allowing new objects that have no counterpart in traditional theory.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Abstract_polytope)

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http://data.loterre.fr/ark:/67375/PSR-PGN3P0QZ-D

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RDF/XML TURTLE JSON-LD Created 7/28/23, last modified 7/28/23