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- W2340267130 abstract "We construct rearrangement groups for edge replacement systems, an infinite class of groups that generalize Richard Thompson's groups F, T, and V . Rearrangement groups act by piecewise-defined homeomorphisms on many self-similar topological spaces, among them the Vicsek fractal and many Julia sets. We show that every rearrangement group acts properly on a locally finite CAT(0) cubical complex, and we use this action to prove that certain rearrangement groups are of type F infinity." @default.
- W2340267130 created "2016-06-24" @default.
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- W2340267130 date "2015-10-12" @default.
- W2340267130 modified "2023-10-01" @default.
- W2340267130 title "Rearrangement Groups of Fractals" @default.
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