English

Cochain operations defining Steenrod $\cup_i$-products in the bar construction

Algebraic Topology 2007-05-23 v1 Quantum Algebra

Abstract

The set of cochain multioperations defining Steenrod i\smile_i-products in the bar construction is constructed in terms of surjection operad. This structure extends a Homotopy G-algebra structure which defines just the \cup on the bar construction.

Keywords

Cite

@article{arxiv.math/0207010,
  title  = {Cochain operations defining Steenrod $\cup_i$-products in the bar construction},
  author = {T. Kadeishvili},
  journal= {arXiv preprint arXiv:math/0207010},
  year   = {2007}
}