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.
Nelson.https://plus.google.com/+RoiceNelson/posts
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.GT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.