Difference between revisions of "Vertex set of an abstract simplicial complex"
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Latest revision as of 11:38, 19 February 2017
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See Abstract simplicial complex, same stuff. Needs another reference. See what Books:Combinatorial Algebraic Topology - Dmitry Kozlov has to say. Alec (talk) 11:34, 19 February 2017 (UTC)
- Warning: not to be confused with the vertex scheme of an abstract simplicial complex
Contents
[hide]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.
