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arXiv · 1107.3392

A unified approach to the plus-construction, Bousfield localization, Moore spaces and zero-in-the-spectrum examples

Shengkui Ye
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Abstract

We introduce a construction adding low-dimensional cells to a space that satisfies certain low-dimensional conditions; it preserves high-dimensional homology with appropriate coefficients. This includes as special cases Quillen's plus construction, Bousfield's integral homology localization, the existence of Moore spaces M(G,1) and Bousfield and Kan's partial k-completion of spaces. We also use it to generalize counterexamples to the zero-in-the-spectrum conjecture found by Farber and Weinberger, and by Higson, Roe and Schick.

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Shengkui Ye. 2013-01-29. A unified approach to the plus-construction, Bousfield localization, Moore spaces and zero-in-the-spectrum examples. https://arxiv.org/abs/1107.3392

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