Mapping a knot by a continuous map
classification
🧮 math.GT
math.DS
keywords
knotcontinuousspaceanalyzefixedpossibletypesanother
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By a fixed continuous map from a $3$-space to itself, a knot in the $3$-space may be mapped to another knot in the $3$-space. We analyze possible knot types of them. Then we map a knot repeatedly by a fixed continuous map and analyze possible infinite sequences of knot types.
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