Adams’ cobar construction as a monoidal $E_{\infty }$ -coalgebra model of the based loop space
In: Forum of Mathematics, Sigma, Jg. 12 (2024)
Online
academicJournal
Zugriff:
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.
Titel: |
Adams’ cobar construction as a monoidal $E_{\infty }$ -coalgebra model of the based loop space
|
---|---|
Autor/in / Beteiligte Person: | Medina-Mardones, Anibal M. ; Rivera, Manuel |
Link: | |
Zeitschrift: | Forum of Mathematics, Sigma, Jg. 12 (2024) |
Veröffentlichung: | Cambridge University Press, 2024 |
Medientyp: | academicJournal |
ISSN: | 2050-5094 (print) |
DOI: | 10.1017/fms.2024.50 |
Schlagwort: |
|
Sonstiges: |
|