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The term “reflection group trick” refers to a method for converting a finite aspherical CW complex into a closed aspherical manifold which retracts back onto it. The upshot is that closed aspherical manifolds are at least as complicated as finite aspherical complexes. The basic technique underlying the trick is the semidirect product construction of Sect. 9.1 .

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The Reflection Group Trick

  • 章节

  • 发表日期：

    2025年

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  • Michael W. Davis

摘要

The term “reflection group trick” refers to a method for converting a finite aspherical CW complex into a closed aspherical manifold which retracts back onto it. The upshot is that closed aspherical manifolds are at least as complicated as finite aspherical complexes. The basic technique underlying the trick is the semidirect product construction of Sect. 9.1 .