Questions tagged [simplicial-complexes]

In an excerpt of an article by Bernd Sturmfels, I found: Theorem 5.5. The tropical Grassmannian $G^{′}_{2,n}$ is a simplical complex known as the space of phylogenetic trees.... It is denoted by $T_n$ and is defined as follows. The vertex set…

The Vietoris-Rips complex (https://en.wikipedia.org/wiki/Vietoris%E2%80%93Rips_complex) is an abstract simplicial complex that can be defined from any metric space M and distance $\delta$ by forming a simplex for every finite set of points that has…

Is a result of the following type known: Any finite simplicial complex of dimension $d$ may be, up to collapsing, covered by (not necessarily induced) subcomplexes that are pseudo-manifolds, in the sense that all d-dimensional simplicies are…

Are there any(other than the full complex/1-case)? Is there a name for this ($k$-edge-regular I call it)? Thanks.