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Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

Effect of induced topological folding on the homology group of knots

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pp. 1009–1016Vol. 29Issue 4April 2026DOI: 10.47974/JIM-2473XML
Received:
01 Sep 2025
Published Online:
01 Apr 2026
Article type:
Research Article
Language:
EN
Article no.:
JIM-2473
Pages:
1009–1016

Abstract

In this article, we introduce the topological folding of some operations in a special family of knots and their homology groups. We obtain the relationship between the topological folding in the homology group of knots and their subgroups. We deduce the homology group of the end limits resulting from iterative topological foldings on the n-dimensional knot. We discuss the We discuss the limit unfolding that involves varying curvature and torsion, which are related to the homology group of the unknot. We present some applications in biochemistry. 

Keywords

Subject Classifications

57K1857K1055N10

References

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