The topology of the independence complex

We introduce a large self-dual class of simplicial complexes for which we show that each member complex is contractible or homotopy equivalent to a sphere. Examples of complexes in this class include independence and dominance complexes of forests, pointed simplicial complexes, and their combinatorial Alexander duals.

• Type: Journal
• Year: 2006
• Where: EJC
• Authors: Richard Ehrenborg, Gábor Hetyei
• Keywords: Combinatorial Alexander Duals, EJC 2006, EJC 2007, Large Self-dual Class, Simplicial Complexes