Alexander's conjecture for infinite simplicial complexes

Martina Iannella; Vadim Weinstein

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arXiv · 2607.01349

Alexander's conjecture for infinite simplicial complexes

Martina Iannella·Vadim Weinstein

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Abstract

Alexander's conjecture states that for every two finite triangulations of the same topological space, if they have a common subdivision, then they have a common stellar subdivision. We generalize the recent result of Adiprasito and Pak, who resolved Alexander's conjecture for finite simplicial complexes, to infinite simplicial complexes.

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Martina Iannella, Vadim Weinstein. 2026-07-01. Alexander's conjecture for infinite simplicial complexes. https://arxiv.org/abs/2607.01349

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