Algebraic realization of chain maps in differential graded algebras over a principal ideal domain
DOI:
https://doi.org/10.17398/Keywords:
Free chain algebras, n-characteristic extensions, Coherent morphisms, Adams-Hilton modelAbstract
Let R be a principal ideal domain, and let (T (V ), ∂) and (T (W ), δ) be two free differential graded R-algebras. Let (V, d) and (W, d0 ) denote the chain complexes of the indecomposables of (T (V ), ∂) and (T (W ), δ), respectively. Given a chain map ξ* : (V, d) → (W, d'), this paper addresses the problem of determining whether there exists a DGA-map α : (T (V ), ∂) → (T (W ), δ) such that H* (α) = H* (ξ* ).
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References
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