Homotopy Invariance of Perturbations of $D_\infty$-Differential Modules

Ya. Gouda

South Valley University

Abstract: The notion of a perturbation of a $D_\infty$-differential module is introduced. It is shown that the perturbations of a $D_\infty$-differential module are homotopy invariant.

Keywords: $D_\infty$-differential module, perturbation of a $D_\infty$-differential module, strong deformation retraction of $D_\infty$-differential modules, SDR-data for $D_\infty$-differential modules, homotopy invariance of perturbations of $D_\infty$-differential modules.

UDC: 515.14

Received: 15.07.2011

DOI: 10.4213/mzm9031

 English version: Mathematical Notes, 2014, 96:3, 353–359

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