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arXiv · 1307.3663

On the dimension of Z-sets

Craig R. Guilbault·Carrie J. Tirel
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Abstract

We offer a short and elementary proof that, for a Z-set A in a finite-dimensional ANR Y, dimA<dimY. This result is relevant to the study of group boundaries. The original proof by Bestvina and Mess relied on cohomological dimension theory.

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Craig R. Guilbault, Carrie J. Tirel. 2013-07-13. On the dimension of Z-sets. https://arxiv.org/abs/1307.3663

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