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Simplicial complex

In mathematics, a simplicial complex is a structured set of simplices (for example, points, line segments, triangles, and their n-dimensional counterparts) such that all the faces and intersections of the elements are also included in the set (see illustration). Simplicial complexes should not be confused with the more abstract notion of a simplicial set…

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Overview

Definitions

Support

Closure, star, and link

  • Star Star (simplicial complex)
  • Link Link (simplicial complex)

Algebraic topology

Combinatorics

Triangulation

Embedding

Computational problems

General references

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Map overview Semantic statistics

Simplicial complex

Nodes63
Edges62
Triples32
Avg. degree1.97
Density0.031746
Components1

How this topic connects Entity context

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Simplicial complex

Top relations

related to Algebraic topology · 9
Simplicial complex → CW, For, Hilton, In, Infinite, Maunder, Spanier, The, Wylie
related to Combinatorics · 6
Simplicial complex → By, Combinatorialists, For, In, Katona, Kruskal
related to External links · 4
Simplicial complex → Eric, MathWorld, Simplicial, Weisstein
related to Embedding · 3
Simplicial complex → Any, This, Whitney
is a · 2
Simplicial complex → abstract simplicial complex, structured set of simplices
related to Closure, star, and link · 2
Simplicial complex → Let, Two
related to Computational problems · 2
Simplicial complex → The, This
related to Definitions · 2
Simplicial complex → Every, The
related to Triangulation · 1
Simplicial complex → Topological
see also · 1
Simplicial complex → Abstract

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Important terminology

simplicial complex displaystyle simplex simplices face complexes abstract set star mathcal algebraic topology space denoted also see dimension mathrm h-vector

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Simplicial complexis astructured set of simplices0.90text
Simplicial complexis aabstract simplicial complex0.90text
Simplicial complexrelated to Algebraic topologyIn0.60section
Simplicial complexrelated to Algebraic topologyFor0.60section
Simplicial complexrelated to Algebraic topologyThe0.60section
Simplicial complexrelated to Algebraic topologyCW0.60section
Simplicial complexrelated to Algebraic topologyInfinite0.60section
Simplicial complexrelated to Algebraic topologySpanier0.60section
Simplicial complexrelated to Algebraic topologyMaunder0.60section
Simplicial complexrelated to Algebraic topologyHilton0.60section
Simplicial complexrelated to Algebraic topologyWylie0.60section
Simplicial complexrelated to Closure, star, and linkTwo0.60section

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    Min side: 3
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