Iteration of functions and contractibility of acyclic 2-complexes
Leary, Ian J. (University of Southampton. School of Mathematical Sciences.)

Date:	2021
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.
Note:	Partially supported by a Research Fellowship from the Leverhulme Trust. This work was started at MSRI, Berkeley, where research is supported by the National Science Foundation under Grant No. DMS-1440140.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Contractibility ; 2-complex ; Iteration ; Collatz function
Published in:	Publicacions matemàtiques, Vol. 65 Núm. 1 (2021) , p. 309-318 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/10.5565-PUBLMAT6512110
DOI: 10.5565/PUBLMAT6512110

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