Topics in Boolean Representable Simplicial Complexes

2023/09/14 by Margolis, Stuart, Rhodes, John, Silva, Pedro V.
#05B35 #52B40 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2309.07676

Abstract

We study a number of topics in the theory of Boolean Representable Simplicial Complexes (BRSC). These include various operators on BRSC. We look at shellability in higher dimensions and propose a number of new conjectures.

Related

• Truncated Boolean Representable Simplicial Complexes
• On the topology of a boolean representable simplicial complex
• Obstructions to shellability, partitionability, and sequential Cohen-Macaulayness
• Strong shellability of simplicial complexes
• d-representability as an embedding problem