Knots and Solenoids that Cannot Be Attractors of Self-homeomorphisms of ℝ3

DOI10.1093/imrn/rnz251zbMath1487.37030arXiv1806.11151OpenAlexW3100555886MaRDI QIDQ5021168

Héctor Barge, Jaime J. Sánchez-Gabites

Publication date: 12 January 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.11151

zbMATH Keywords

knotshomeomorphismsrealizability problem

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Knot theory (57K10)

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The realization problem of non-connected compacta as attractors ⋮ The geometric index and attractors of homeomorphisms of ⋮ Knotted toroidal sets, attractors and incompressible surfaces ⋮ Genus 2 Cantor sets

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