Lobb, Andrew and Orson, Patrick and Schuetz, Dirk (2022) 'A calculus for flow categories.', Advances in Mathematics, 409 (Part B). p. 108665.
Abstract
We describe a calculus of moves for modifying a framed flow category without changing the associated stable homotopy type. We use this calculus to show that if two framed flow categories give rise to the same stable homotopy type of homological width at most three, then the flow categories are move equivalent. The process we describe is essentially algorithmic and can often be performed by hand, without the aid of a computer program.
Item Type: | Article |
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Full text: | Publisher-imposed embargo (AM) Accepted Manuscript Available under License - Creative Commons Attribution Non-commercial No Derivatives 4.0. File format - PDF (572Kb) |
Full text: | (VoR) Version of Record Available under License - Creative Commons Attribution 4.0. Download PDF (853Kb) |
Status: | Peer-reviewed |
Publisher Web site: | https://doi.org/10.1016/j.aim.2022.108665 |
Publisher statement: | © 2022 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). |
Date accepted: | 19 August 2022 |
Date deposited: | 01 September 2022 |
Date of first online publication: | 19 September 2022 |
Date first made open access: | 21 September 2022 |
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