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...

Бүрэн тодорхойлолт

Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид: Anibal M. Medina-Mardones, Manuel Rivera
Формат: Өгүүллэг
Хэл сонгох:English
Хэвлэсэн: Cambridge University Press 2024-01-01
Цуврал:Forum of Mathematics, Sigma
Нөхцлүүд:
Онлайн хандалт:https://www.cambridge.org/core/product/identifier/S2050509424000501/type/journal_article