A characterization of almost alternating knot
Tetsuya Ito

TL;DR
This paper extends the topological understanding of knots by providing a characterization of almost alternating knots, building upon previous work on alternating knots.
Contribution
It introduces a topological characterization of almost alternating knots, generalizing the existing characterization of alternating knots by Howie and Greene.
Findings
Provides a new topological criterion for almost alternating knots
Extends the classification framework for knot types
Enhances understanding of knot complexity and structure
Abstract
Generalizing Howie and Greene's characterization of alternating knots, we give a topological characterization of almost alternating knots.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Geometric Analysis and Curvature Flows
