COMPARING COMMUTATIVE AND ASSOCIATIVE UNBOUNDED DIFFERENTIAL GRADED ALGEBRAS OVER Q FROM A HOMOTOPICAL POINT OF VIEW

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Authors

AMRANI Ilias

Year of publication 2015
Type Article in Periodical
Magazine / Source Homology, Homotopy and Applications
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.4310/HHA.2015.v17.n1.a9
Field General mathematics
Keywords DGA; CDGA; mapping space; rational homotopy theory; derived algebraic geometry
Description In this paper we establish a faithfulness result, in a homotopical sense, between a subcategory of the model category of augmented differential graded commutative algebras CDGA and a subcategory of the model category of augmented differential graded algebras DGA over the field of rational numbers Q.
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