Publications [#287223] of Richard Hain

Papers Published

1. Hain, RM, On the indecomposable elements of the bar construction, Proceedings of the American Mathematical Society, vol. 98 no. 2 (January, 1986), pp. 312-316, JSTOR, ISSN 0002-9939 [2045704], [doi]
   (last updated on 2025/04/05)

   Abstract:
   An explicit formula for a canonical splitting s: Qℬ(ℰ.)⟶ℬ(ℰ.) of the projection ℬ(ℰ.)⟶Qℬ(ℰ.) of the bar construction on a commutative d.g. algebraℰ.onto its indecomposables is given. We prove that s induces a d.g. algebra isomorphism Λ(Qℬ(ℰ.))⟶ℬ(ℰ.) and that H(Qℬ(ℰ.)) is isomorphic with QH(ℬ(ℰ.)). © 1986 American Mathematical Society.