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Results tagged with at.algebraic-topology
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user 97688
Homotopy theory, homological algebra, algebraic treatments of manifolds.
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answer
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Example of a simplicial complex containing a free face with (at least) three vertices
Let $\Delta$ be a simplicial complex, we say that a face $F$ of $\Delta$ is free provided there is a single vertex $v$ not contained in $F$ such that the face determined by the union of $F$ and $v$ is …
1
vote
Example of a simplicial complex containing a free face with (at least) three vertices
Ok, I have found myself an answer; just consider the simplicial complex $\Delta$ with facets $\{1,2,3,4\}$, $\{4,5\}$, $\{4,6\}$ and $\{5,6\}$; one can easily check that, for instance, $\{1,2,4\}$ is …