Smoothing of rational m-ropes
Edoardo Ballico, Elizabeth Gasparim, Thomas K\"oppe
TL;DR
This paper generalizes previous results to prove that rational m-ropes for m ≥ 3 can be smoothed, extending the understanding of their deformation properties.
Contribution
It extends the smoothing results from rational 3-ropes to all rational m-ropes for m ≥ 3, broadening the class of algebraic structures known to be smoothable.
Findings
Rational m-ropes for m ≥ 3 are smoothable.
Generalization of previous smoothing results.
Provides a unified proof for all m ≥ 3.
Abstract
In a recent paper, Gallego, Gonz\'{a}lez and Purnaprajna showed that rational 3-ropes can be smoothed. We generalise their proof and obtain smoothability of rational -ropes for .
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Mathematical Dynamics and Fractals · semigroups and automata theory