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math.CO2022
Topology of complements of skeletons
Rowan Rowlands
Given a polytopal complex , we examine the topological complement of its -skeleton. We construct a long exact sequence relating the homologies of the skeleton complements and…
math.CO2020
Relating CAT(0) cubical complexes and flag simplicial complexes
Rowan Rowlands
Given a finite CAT(0) cubical complex, we define a flag simplicial complex associated to it, called the crossing complex. We show that the crossing complex holds much of the combin…