Difference between revisions of "Vertex set of an abstract simplicial complex/Definition"
From Maths
(Added notation and words version of definition, not just copied and pasted the definition to a subpage!) |
(No difference)
|
Latest revision as of 11:37, 19 February 2017
Definition
Let S be a abstract simplicial complex, we define the vertex set of S, denoted as just V or VS, as follows[1]:
- VS:=⋃A∈{B∈S | |B|=1}A- the union of all one-point sets in S
Note: we do not usually distinguish between v∈VS and {v}∈S[1], they are notionally identified.