非无限类型的最小沙利文代数与其实现之间不存在准同构关系

arXiv - MATH - Algebraic Topology Pub Date : 2024-07-30 DOI:arxiv-2407.20881

Jiawei Zhou

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摘要

我们证明，从一个非终极类型的极小沙利文代数到其实现上的多项式微分形式代数的变形不可能是准同构的。这为F\'elix、Halperin和Thomas提出的一个问题提供了肯定的答案。此外，我们还讨论了拓扑空间的同调群与其最小沙利文模型之间的关系。

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No quasi-isomorphism between a minimal Sullivan algebra of non-finite type and its realization

We prove that the morphisms from a minimal Sullivan algebra of non-finite type to the algebra of polynomial differential forms on its realization cannot be quasi-isomorphic. This provides a positive answer to a question posed by F\'elix, Halperin and Thomas. Furthermore, we give some discussion about the relationship between the homotopy groups of a topological space and its minimal Sullivan model.

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arXiv - MATH - Algebraic Topology

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