Adams’ cobar construction as a monoidal $E_{\infty }$ -coalgebra model of the based loop space
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 it...
| Published in: | Forum of Mathematics, Sigma |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Cambridge University Press
2024-01-01
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| Subjects: | |
| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509424000501/type/journal_article |