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学术科研

Geometry & Topology Seminar

A unified approach to Quillen's plus construction, Bousfield localization and zero-in-the-spectrum examples

演讲者：叶圣奎（西交利物浦大学）
时间：2018-04-17 16:30-17:30
地点：慧园3栋 415报告厅

We introduce a construction of adding cells to a CW complex preserving homology groups. As applications, we recover the following 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.