Iteration of functions and contractibility of acyclic 2-complexes
Group Theory
2020-03-23 v3 Geometric Topology
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.
Keywords
Cite
@article{arxiv.1910.00931,
title = {Iteration of functions and contractibility of acyclic 2-complexes},
author = {Ian J Leary},
journal= {arXiv preprint arXiv:1910.00931},
year = {2020}
}
Comments
Third version: more minor misprints removed