Dubrovnik VI – Geometric Topology

September 30 – October 7, 2007


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Dušan Repovš
University of Ljubljana, Slovenia

On Bing-Whitehead Cantor sets

We shall present new techniques for constructing wild Cantor sets in R3 which have some extra properties, for example they are Lipschitz homogeneously embedded, or rigid with simply connected complement, etc. We shall also report on new joint work with D. Garity, D. Wright and M. Željko on Bing-Whitehead Cantor sets. We also plan to state some open problems and conjectures concerning wild Cantor sets in Rn≥3.
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