9 citations · 18 across the 3 of their papers we have counts for
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math.DS2007★ 1 cited
The absorption theorem for affable equivalence relations
Thierry Giordano, Hiroki Matui, Ian F. Putnam +1
We prove a result about extension of a minimal AF-equivalence relation R on the Cantor set X, the extension being `small' in the sense that we modify R on a thin closed subset Y of…
math.DS2006★ 8 cited
Orbit equivalence for Cantor minimal Z^2-systems
Thierry Giordano, Hiroki Matui, Ian F. Putnam +1
We show that every minimal, free action of the group Z^2 on the Cantor set is orbit equivalent to an AF-relation. As a consequence, this extends the classification of minimal syste…