Higher analogs of simplicial and combinatorial complexity

Name: Work Video:
Duration: 3 min 30 s
Description: We introduce higher simplicial complexity of a simplicial complex $K$ and higher combinatorial complexity of a finite space $P$ (i.e. $P$ is a finite poset). We relate higher simplicial complexity with higher topological complexity of $|K|$ and higher combinatorial complexity with higher simplicial complexity of the order complex of $P$.
Amit Kumar Paul
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