Successively almost positive links
Tetsuya Ito
TL;DR
This paper introduces successively almost positive links, extending properties of positive links and improving known results, with implications for link theory.
Contribution
It defines successively almost positive links and explores their properties, extending and enhancing existing results on positive and almost positive links.
Findings
Extension of properties from positive links to successively almost positive links
Introduction of good successively almost positive links
Improvement of known results in link theory
Abstract
As an extension of positive or almost positive diagrams and links, we introduce a notion of successively almost positive diagrams and links, and good successively almost positive diagrams and links. We review various properties of positive links or almost positive links, and explain how they can be extended to (good) successively almost positive links. Our investigation also leads to an improvement of known results of positive or almost positive links.
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Taxonomy
TopicsGeometric and Algebraic Topology · semigroups and automata theory · Advanced Operator Algebra Research