---- > [!definition] Definition. ([[simplicial complex]]) > A **simplicial complex** is a set $K$ of [[simplex|simplices]] such that > 1. Every face of a simplex from $K$ is also in $K$; > 2. The nonempty intersection of any two simplices $\sigma_{1}, \sigma_{2} \in K$ is a face of both $\sigma_{1}$ and $\sigma_{2}$. > ![[Pasted image 20241002165500.png|200]] (Image from Wikipedia) > ^definition ---- #### ---- #### References > [!backlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM [[]] > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ``` > [!frontlink] > ```dataview > TABLE rows.file.link as "Further Reading" > FROM outgoing([[]]) > FLATTEN file.tags as Tag > WHERE Tag = "#definition" OR Tag = "#theorem" OR Tag = "#MOC" OR Tag = "#proposition" OR Tag = "#axiom" > GROUP BY Tag > ```