Ishak, Jocelyne (2019) Rigidity of the $K(1)$-local stable homotopy category. Homology, Homotopy and Applications, 21 (2). pp. 261-278. ISSN 1532-0073. (doi:10.4310/HHA.2019.v21.n2.a14) (KAR id:73675)
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Official URL: https://doi.org/10.4310/HHA.2019.v21.n2.a14 |
Abstract
We investigate a new case of rigidity in stable homotopy theory which is the rigidity of the K(1)-local stable homotopy category Ho(LK(1)Sp) at p=2. In other words, we show that recovering higher homotopy information by just looking at the triangulated structure of Ho(LK(1)Sp) is possible, which is a property that only a few interesting stable model categories are known to possess.
Item Type: | Article |
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DOI/Identification number: | 10.4310/HHA.2019.v21.n2.a14 |
Uncontrolled keywords: | stable homotopy theory, chromatic homotopy theory |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Depositing User: | J. Ishak |
Date Deposited: | 29 Apr 2019 14:30 UTC |
Last Modified: | 28 Jul 2022 22:09 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/73675 (The current URI for this page, for reference purposes) |
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