Cell-like equivalences and boundaries of \(CAT(0)\) groups (Q715174)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cell-like equivalences and boundaries of \(CAT(0)\) groups |
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Cell-like equivalences and boundaries of \(CAT(0)\) groups (English)
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2 November 2012
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A \(CAT(0)\) group \(G\) may admit more than one boundary. In this paper the authors investigate a question due to Bestvina: Are any two such boundaries of a \(CAT(0)\) group unique up to cell-like equivalence? This notion is weaker than topological equivalence and stronger than shape equivalence inside the category of boundaries of \(CAT(0)\) groups. The authors develop some techniques towards a positive answer and apply these to several examples.
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\(CAT(0)\) boundary
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group boundary
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shape equivalence
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cell-like equivalence
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