On the dimension of Z-sets
classification
🧮 math.GT
keywords
dimensionproofbestvinaboundariescohomologicaldimadimyelementary
read the original 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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