Homotopy types of truncated projective resolutions
arXiv:2308.11871 · doi:10.4310/HHA.2007.v9.n2.a16
Abstract
We work over an arbitrary ring R. Given two truncated projective resolutions of equal length for the same module we consider their underlying chain complexes. We show they may be stabilized by projective modules to obtain a pair of complexes of the same homotopy type.
Paper, published in peer-reviewed journal in 2007