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Adams' cobar construction as a monoidal $E_{\infty}$-coalgebra model of the based loop space
- Publication Year :
- 2021
-
Abstract
- 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 $E_\infty$-coalgebra structures. This contribution extends to its ultimate conclusion a result of Baues, stating that Adams' map preserves monoidal coalgebra structures.<br />Comment: Final version
- Subjects :
- Mathematics - Algebraic Topology
57T30, 55P35, 18N70, 55U10, 55N45, 55S05
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2108.02790
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1017/fms.2024.50