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LSpice
LSpice
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Suppose $F$ is a face of a 2-complex, and $F_1,\dots,F_n$$F_1,\dotsc,F_n$ are the faces that are adjacent to (i.e., share an edge with) $F$. Is there a standard term for a collection of faces of the form {$F,F_1,\dots,F_n$}$\{F,F_1,\dotsc,F_n\}$? Note that under (Vertex,Edge,Face) $\leftrightarrow$ (Face,Edge,Vertex) duality, this is dual to what graph theorists call the closed neighborhood of a vertex $v$.

Suppose $F$ is a face of a 2-complex, and $F_1,\dots,F_n$ are the faces that are adjacent to (i.e., share an edge with) $F$. Is there a standard term for a collection of faces of the form {$F,F_1,\dots,F_n$}? Note that under (Vertex,Edge,Face) $\leftrightarrow$ (Face,Edge,Vertex) duality, this is dual to what graph theorists call the closed neighborhood of a vertex $v$.

Suppose $F$ is a face of a 2-complex, and $F_1,\dotsc,F_n$ are the faces that are adjacent to (i.e., share an edge with) $F$. Is there a standard term for a collection of faces of the form $\{F,F_1,\dotsc,F_n\}$? Note that under (Vertex,Edge,Face) $\leftrightarrow$ (Face,Edge,Vertex) duality, this is dual to what graph theorists call the closed neighborhood of a vertex $v$.

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James Propp
James Propp
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A face and all its neighbors: terminology?

Suppose $F$ is a face of a 2-complex, and $F_1,\dots,F_n$ are the faces that are adjacent to (i.e., share an edge with) $F$. Is there a standard term for a collection of faces of the form {$F,F_1,\dots,F_n$}? Note that under (Vertex,Edge,Face) $\leftrightarrow$ (Face,Edge,Vertex) duality, this is dual to what graph theorists call the closed neighborhood of a vertex $v$.