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arXiv · 1807.03175

Rigidity of the $K(1)$-local stable homotopy category

Jocelyne Ishak
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Abstract

We investigate a new case of rigidity in stable homotopy theory which is the rigidity of the $K(1)$-local stable homotopy category $\mathrm{Ho}(L_{K(1)}\mathrm{Sp})$ at $p=2$. In other words, we show that recovering higher homotopy information by just looking at the triangulated structure of $\mathrm{Ho}(L_{K(1)}\mathrm{Sp})$ is possible, which is a property that only few interesting stable model categories are known to possess.

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Jocelyne Ishak. 2018-07-09. Rigidity of the $K(1)$-local stable homotopy category. https://arxiv.org/abs/1807.03175

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