Homotopy properties of ∞-simplicial coalgebras and homotopy unital supplemented A∞-algebras

被引：0
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作者：
S. V. Lapin
机构：
[1] Steklov Mathematical Institute of Russian Academy of Sciences,“Mathematical Notes”
来源：
Mathematical Notes | 2016年 / 99卷
关键词：
homotopy theory of ∞-simplicial coalgebras; differential ∞-simplicial module; homotopy unital supplemented ; -algebra; tensor bigraded coalgebra of a graded module; connected graded module; SDR-data;
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学科分类号：
摘要：
The homotopy theory of ∞-simplicial coalgebras is developed; in terms of this theory, an additional structure on the tensor bigraded coalgebra of a graded module is described such that endowing the coalgebra with this structure is equivalent to endowing the given graded module with the structure of a homotopy unital A∞-algebra.
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页码：63 / 81
页数：18
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