Directional Invariants of Doubly Periodic Tangles

Autor:	Ioannis Diamantis, Sofia Lambropoulou, Sonia Mahmoudi
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	doubly periodic structures translational symmetry tangles thickened torus motif topological invariant Mathematics QA1-939
Zdroj:	Symmetry, Vol 16, Iss 8, p 968 (2024)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym16080968
Popis:	In this paper, we define novel topological invariants of doubly periodic tangles (DP tangles). DP tangles are embeddings of curves in the thickened plane with translational symmetries in two independent directions. We first organize the components of a DP tangle into different interlinked compounds, which are invariants of a DP tangle. The notion of an interlinked compound leads to the classification of DP tangles according to their directional type. We then prove that the directional type is an invariant of DP tangles using the concept of axis-motif, which can be viewed as the blueprint of a DP tangle.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/14d3a44d295c45128d020d644254cb86 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.