Higher analogs of simplicial and combinatorial complexity

2019/05/04 by Paul, Amit Kumar
#05E45 #55M30 #Algebraic Topology (math.AT) #FOS: Mathematics #Primary: 57Q05 #\ secondary: 06A07

paper · doi:10.48550/arxiv.1905.01440

Abstract

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.

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