RUS  ENG
Full version
JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive

Funktsional. Anal. i Prilozhen., 2025 Volume 59, Issue 2, Pages 3–10 (Mi faa4255)

A note on lattice knots

Sasha Anan'ina, Alexandre Grishkovbcd, Dmitrii Korshunove

a Universidade de São Paulo, Departamento de Matemática, São Carlos, Brazil
b F.M. Dostoevsky Omsk State University, Omsk, Russia
c Universidade de São Paulo, Instituto de Matemática e Estatística, São Paulo, Brazil
d Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Omsk, Russia
e Instituto Nacional de Matemática Pura e Aplicada, Rio de Janeiro, Brazil

Abstract: The aim of this note is to share the observation that the set of elementary operations of Turing on lattice knots can be reduced to just one type of simple local switches.

Keywords: knots, cubiculated knots.

MSC: 57K10

Received: 25.09.2024
Revised: 14.10.2024
Accepted: 17.10.2024

DOI: 10.4213/faa4255


 English version:
Functional Analysis and Its Applications, 2025, 59:2, 107–113

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2026