A(infinity)-coalgebra structure maps that vanish on H-*(K(pi, n); Z(p))

作者:Berciano Ainhoa*; Real Pedro
来源:Forum Mathematicum, 2010, 22(2): 357-378.
DOI:10.1515/FORUM.2010.020

摘要

In this article, we study the structure maps of the A(infinity)-coalgebra structure for the homology H-*(K(pi, n); Z(p)) of an Eilenberg-Mac Lane space K(pi, n), where pi is a finitely generated abelian group, n is a positive integer and p is a prime number different to 2. Using diverse techniques of homological perturbation, we obtain that all the components of Delta(i) vanish except for Delta(i(p-2)+2) of degree i(p - 2) and i >= 0.

  • 出版日期2010-3