Title of article :
Cofibrant operads and universal E∞ operads
Author/Authors :
Vogt، نويسنده , , R.M.، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2003
Abstract :
We introduce various homotopy structures on the category of operads, which shed some light into the homotopy theoretic nature of the barconstruction WB of an operad, the whiskering process for operads and the Σ-freeness condition. Using the lifting property of cofibrant objects, we construct E∞ operads A which are universal: any E∞-structure lifts to an A-structure, canonically up to homotopy through A-structures.
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications