Homotopy simplicial faces and the homology of realizations of simplicial topological spaces

DOI10.1134/S0001434613110035zbMath1294.55008OpenAlexW1995826476MaRDI QIDQ2439974

Yanyan Li

Publication date: 26 March 2014

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434613110035

zbMATH Keywords

\(A_\infty\)-algebra\(SDR\)-data\(D_\infty\)-differential modulecategory of \(D_\infty\) (\(D_\infty\))-modulesdifferential module with homotopy simplicial facesrealization of a simplicial topological space

Mathematics Subject Classification ID

Simplicial sets and complexes in algebraic topology (55U10) Module categories and commutative rings (13C60)

Related Items (6)

Homotopic invariance of dihedral homologies for 𝐴_{∞}-algebras with involution ⋮ Chain realization of differential modules with \(\infty\)-simplicial faces and the \(B\)-construction over \(A_\infty\)-algebras ⋮ Cyclic modules with \(\infty\)-simplicial faces and the cyclic homology of \(A_\infty\)-algebras ⋮ Cyclic homology of cyclic \(\infty\)-simplicial modules ⋮ Homotopy invariance of the cyclic homology of \(A_{\infty}\)-algebras under homotopy equivalences of \(A_{\infty}\)-algebras ⋮ Dihedral \(\infty\)-simplicial modules and dihedral homology of involutive homotopy unital \(A_{\infty}\)-algebras

Cites Work

• Perturbation theory in differential homological algebra. II
• \(A_\infty\)-simplicial objects and \(A_\infty\)-topological groups
• ON THE HOMOLOGY THEORY OF FIBRE SPACES
• Differential perturbations and $ D_\infty$-differential modules
• $ D_\infty$-differential $ E_\infty$-algebras and spectral sequences of fibrations
• Homotopy Associativity of H-Spaces. I
• Algebraic Operads
• Unnamed Item

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