Triangulated categories without models
Triangulated categories without models
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DOI：
10.1007/s00222-007-0061-2
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发表时间：
2007-04
影响因子：
3.1
通讯作者：
F. Muro;S. Schwede;N. Strickland
中科院分区：
文献类型：
--
作者：
F. Muro;S. Schwede;N. Strickland
我们展示了三角类别的示例，这些三角类别既不是 Frobenius 类别的稳定类别，也不是稳定模型类别的同伦类别的完整三角子类别。更严重的是，我们的例子不允许任何非平凡的精确函子传入或传出这些代数拓扑三角类别。
We exhibit examples of triangulated categories which are neither the stable category of a Frobenius category nor a full triangulated subcategory of the homotopy category of a stable model category. Even more drastically, our examples do not admit any non-trivial exact functors to or from these algebraic respectively topological triangulated categories.