Inverting operations in operads Academic Article uri icon

abstract

  • We construct a localization for operads with respect to one-ary operations based on the Dwyer-Kan hammock localization. For an operad O and a sub-monoid of one-ary operations W we associate an operad LO and a canonical map O to LO which takes elements in W to homotopy invertible operations. Furthermore, we give a functor from the category of O-algebras to the category of LO-algebras satisfying an appropriate universal property.

published proceedings

  • TOPOLOGY AND ITS APPLICATIONS

author list (cited authors)

  • Basterra, M., Bobkova, I., Ponto, K., Tillmann, U., & Yeakel, S.

citation count

  • 2

complete list of authors

  • Basterra, Maria||Bobkova, Irina||Ponto, Kate||Tillmann, Ulrike||Yeakel, Sarah

publication date

  • February 2018