Homotopy invariance of perturbations of \(D_\infty\)-differential modules

DOI10.1134/S0001434614090077zbMath1315.55015OpenAlexW2473652035MaRDI QIDQ2342377

Yasien Gh. Gouda

Publication date: 11 May 2015

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

Full work available at URL: https://doi.org/10.1134/s0001434614090077

zbMATH Keywords

\(D_\infty\)-differential modulehomotopy invariance of perturbations of \(D_\infty\)-differential modulesperturbation of a \(D_\infty\)-differential moduleSDR-data for \(D_\infty\)-differential modulesstrong deformation retraction of \(D_\infty\)-differential modules

Mathematics Subject Classification ID

Differential graded algebras and applications (associative algebraic aspects) (16E45) Spectral sequences in algebraic topology (55T99) Applied homological algebra and category theory in algebraic topology (55U99)

Cites Work

• Perturbation theory in differential homological algebra. II
• Perturbation theory in differential homological algebra. I
• On the chain-complex of a fibration
• Homologie singulière des espaces fibrés. Applications
• Differential perturbations and $ D_\infty$-differential modules
• $ D_\infty$-differential $ E_\infty$-algebras and spectral sequences of fibrations

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