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Matematicheskie Zametki, 2016, Volume 99, Issue 1, Pages 55–77
DOI: https://doi.org/10.4213/mzm10684 (Mi mzm10684) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Homotopy Properties of $\infty$-Simplicial Coalgebras and Homotopy Unital Supplemented $A_\infty$-Algebras

S. V. Lapin

Saransk
Full-text PDF (571 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm10684
Abstract: The homotopy theory of $\infty$-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 $A_\infty$-algebra.
Keywords: homotopy theory of $\infty$-simplicial coalgebras, differential $\infty$-simplicial module, homotopy unital augmented $A_\infty$-algebra, tensor bigraded coalgebra of a graded module, connected graded module, SDR-data.
Received: 16.03.2015
Revised: 02.07.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 1, Pages 63–81
DOI: https://doi.org/10.1134/S0001434616010077
Bibliographic databases:
Document Type: Article
UDC: 515.14
Language: Russian
Citation: S. V. Lapin, “Homotopy Properties of $\infty$-Simplicial Coalgebras and Homotopy Unital Supplemented $A_\infty$-Algebras”, Mat. Zametki, 99:1 (2016), 55–77; Math. Notes, 99:1 (2016), 63–81
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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