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arXiv · 1910.00931

Iteration of functions and contractibility of acyclic 2-complexes

Ian J Leary
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Abstract

We show that there can be no algorithm to decide whether infinite recursively described acyclic aspherical 2-complexes are contractible. We construct such a complex that is contractible if and only if the Collatz conjecture holds.

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Ian J Leary. 2020-03-20. Iteration of functions and contractibility of acyclic 2-complexes. https://arxiv.org/abs/1910.00931

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