Geodesic
On the homotopy type of a chain algebra
Homology, homotopy, and applications, Tome 6 (2004) no. 1, pp. 109-135.

Voir la notice de l'article provenant de la source International Press of Boston

Let $R$ be a P.I.D and let $A$ be a dga over $R$. It is well-known that the graded homology modules $H_{\ast }(A)$ and $% Tor_{\ast }^{A}(R,R)$ alone do not suffice (in general) to determine the homotopy type of the dga $A$. J.H. Baues had built a more precise invariant, the “certain” exact sequence of Whitehead associated with $A.$ Whitehead had built it for CW-complexes. In this work we explore this sequence to show how it can be used to classify the homotopy types of $A$.
DOI : 10.4310/HHA.2004.v6.n1.a8
Classification : 55Q15, 55U40
Keywords: differential graded algebra, Whitehead exact sequence, Detecting functor, Homotopy type 
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Mahmoud Benkhalifa. On the homotopy type of a chain algebra. Homology, homotopy, and applications, Tome 6 (2004) no. 1, pp. 109-135. doi : 10.4310/HHA.2004.v6.n1.a8. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2004.v6.n1.a8/

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