Adams' cobar construction as a monoidal E_∞-coalgebra model of the based loop space
arxiv(2021)
摘要
We prove that the classical map comparing Adams' cobar construction on the
singular chains of a pointed space and the singular cubical chains on its based
loop space is a quasi-isomorphism preserving explicitly defined monoidal
E_∞-coalgebra structures. This contribution extends to its ultimate
conclusion a result of Baues, stating that Adams' map preserves monoidal
coalgebra structures.
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