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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asked Sep 4, 2023 at 17:18
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1$\begingroup$ Perhaps the coclosure, i.e. closure of the dual? $\endgroup$– Ben McKayCommented Sep 4, 2023 at 17:21
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