Transfinite iterations of π_n-wild sets produce homotopy invariants whose ranks realize any countable ordinal for n-dimensional Peano continua, while the free π_n-wild rank is always countable for any continuum.
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Transfinitely iterated wild sets
Transfinite iterations of π_n-wild sets produce homotopy invariants whose ranks realize any countable ordinal for n-dimensional Peano continua, while the free π_n-wild rank is always countable for any continuum.