Free Knos are Not Invertible
Vassily Olegovich Manturov
TL;DR
This paper demonstrates that free knots are generally not invertible by employing parity arguments, contributing to the understanding of their structural properties.
Contribution
It introduces a novel application of parity arguments to establish non-invertibility of free knots, a new insight in knot theory.
Findings
Free knots are generally not invertible.
Parity arguments effectively prove non-invertibility.
Provides a new method for analyzing knot invertibility.
Abstract
By using parity arguments we prove that free knots are, generally, not invertible.
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Taxonomy
TopicsGeometric and Algebraic Topology · semigroups and automata theory · Logic, programming, and type systems