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arxiv: 1510.05283 · v2 · pith:ONDRHJADnew · submitted 2015-10-18 · 🧮 math.AT · math.AC

frac{n}{3}-Neighbourly Moment-Angle Complexes and their Unstable Splittings

classification 🧮 math.AT math.AC
keywords complexfracmoment-angleneighbourlyanaloguecomplexesgivengolod
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Given an $\frac{n}{3}$-neighbourly simplicial complex $K$ on vertex set $[n]$, we show that the moment-angle complex $\mathcal{Z}_K$ is a $co$-$H$-space if and only if $K$ satisfies a homotopy analogue of the Golod property.

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