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D∞-differential E∞-algebras and Steenrod operations in spectral sequences

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Abstract

This paper is devoted to the introduction of a D ∞-differential analog of the notion of an E ∞-(co)algebra and to the construction of generalized Steenrod operations in terms of multiplicative spectral sequences. In this paper, we investigate basic homotopy properties of D ∞-differential E ∞-(co)algebras and construct a spectral sequence of a D ∞-differential E ∞-(co)algebra.

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Authors and Affiliations

  1. Ogarev Mordovia State University, Saransk, Republic of Mordovia

    S. V. Lapin

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  1. S. V. Lapin
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 43, Topology and Its Applications, 2006.

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Lapin, S.V. D∞-differential E∞-algebras and Steenrod operations in spectral sequences. J Math Sci 152, 372–403 (2008). https://doi.org/10.1007/s10958-008-9070-y

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  • DOI: https://doi.org/10.1007/s10958-008-9070-y

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