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''of a [[Simplex|simplex]] <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/l/l059/l059580/l0595801.png" /> of a [[Triangulation|triangulation]] <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/l/l059/l059580/l0595802.png" />''
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''of a [[simplex]] $\sigma$ of a [[triangulation]] $T$''
  
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The set <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/l/l059/l059580/l0595803.png" /> of those simplices from the closed star <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/l/l059/l059580/l0595804.png" /> (the union of the simplices in <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/l/l059/l059580/l0595805.png" /> containing <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/l/l059/l059580/l0595806.png" />) which do not intersect <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/l/l059/l059580/l0595807.png" /> or any face of <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/l/l059/l059580/l0595808.png" />.
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The set $\text{ln}(\sigma,T)$ of those simplices from the [[closed star]] $\text{St}(\sigma,T)$ (the union of the simplices in $T$ containing $\sigma$) which do not intersect $\sigma$ or any face of $\sigma$.
  
  
  
 
====Comments====
 
====Comments====
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Cf. also [[Simplex (abstract)|Simplex (abstract)]].
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Cf. also [[Simplex (abstract)]].
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Latest revision as of 20:16, 13 May 2017

of a simplex $\sigma$ of a triangulation $T$

The set $\text{ln}(\sigma,T)$ of those simplices from the closed star $\text{St}(\sigma,T)$ (the union of the simplices in $T$ containing $\sigma$) which do not intersect $\sigma$ or any face of $\sigma$.


Comments

Cf. also Simplex (abstract).

How to Cite This Entry:
Link. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Link&oldid=18754
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article
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