| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4657909 | Topology and its Applications | 2016 | 22 Pages |
Abstract
We show that relative loop spaces are recognized by A∞A∞-actions. A certain version of the 2-sided bar construction is used to prove such recognition theorem. The operad Act∞Act∞ of A∞A∞-actions is presented in terms of the Boardman–Vogt resolution of the operad ActAct. We exhibit an operad homotopy equivalence between such resolution and the 1-dimensional Swiss-cheese operad SC1SC1.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Eduardo Hoefel, Muriel Livernet, Jim Stasheff,