Explicit recursive constructions produce infinitely many non-equivalent wild knots in the Menger sponge whose wild points lie in a Cantor set, and dynamically defined wild knots from Kleinian actions can be isotoped into the sponge.
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Wild knots embedded in the Menger Sponge
Explicit recursive constructions produce infinitely many non-equivalent wild knots in the Menger sponge whose wild points lie in a Cantor set, and dynamically defined wild knots from Kleinian actions can be isotoped into the sponge.