Transferring algebra structures up to homology equivalence
- Autores: Leif Johansson, Larry A. Lambe
- Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 89, Nº 2, 2001, págs. 181-200
- Idioma: inglés
- DOI: 10.7146/math.scand.a-14337
- Enlaces
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Resumen
Given a strong deformation retract $M$ of an algebra $A$, there are several apparently distinct ways ([9],[19],[13],[24],[15],[18],[17]) of constructing a coderivation on the tensor coalgebra of $M$ in such a way that the resulting complex is quasi isomorphic to the classical (differential tor) [17] bar construction of $A$. We show that these methods are equivalent and are determined combinatorially by an inductive formula first given in a very special setting in [16]. Applications to de Rham theory and Massey products are given.
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