The topological complexity of the free product

2017/10/12 by Dranishnikov, Alexander, Sadykov, Rustam
#Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1710.04711

Abstract

We prove the formula TC(G∗ H)=max\TC(G), TC(H), cd(G× H)\ for the topological complexity of the free product of discrete groups with cohomological dimension >2.

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