论文标题
拓扑二元性的西班牙人二元性Cohochschild
Spanier-Whitehead duality for topological coHochschild homology
论文作者
论文摘要
在这项工作中，我们计算了有趣的山地（例如Steenrod代数光谱）的拓扑Cohochschild同源性（COTHH）。为此，我们首先将Hess-Shipley的定义扩展到$ \ infty $ - 类别，遵循Nikolaus-Scholze方法到THH。此外，我们证明，我们所谓的Quasi-proper colgebras可以通过Spanier-Whitehead二元性获得，这可以进一步了解Cothh及其与Thh的关系。
In this work, we compute the topological coHochschild homology (coTHH) of interesting coalgebras such as the Steenrod algebra spectrum. For this, we start by extending the Hess-Shipley definition of coTHH to $\infty$-categories, following the Nikolaus-Scholze approach to THH. Furthermore, we prove that coTHH of what we call quasi-proper coalgebras can be obtained from THH via Spanier-Whitehead duality which provides further insight into coTHH and its relationship to THH.
