Arcs, balls and spheres that cannot be attractors in $\mathbb {R}^3$

DOI10.1090/tran/6570zbMath1342.54024arXiv1406.5482OpenAlexW1502071391MaRDI QIDQ2790601

Jaime J. Sánchez-Gabites

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5482

Mathematics Subject Classification ID

Related Items (5)

On the set of wild points of attracting surfaces in \(\mathbb{R}^3\) ⋮ Higher dimensional topology and generalized Hopf bifurcations for discrete dynamical systems ⋮ The realization problem of non-connected compacta as attractors ⋮ The geometric index and attractors of homeomorphisms of ⋮ Knotted toroidal sets, attractors and incompressible surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Čech cohomology of attractors of discrete dynamical systems
• How strange can an attractor for a dynamical system in a 3-manifold look?
• Global attractors: Topology and finite-dimensional dynamics
• Some wild cells and spheres in three-dimensional space
• Embedding of global attractors and their dynamics
• Every Attractor of a Flow on a Manifold has the Shape of a Finite Polyhedron
• Unstable attractors in manifolds
• Strong cellularity and global asymptotic stability
• A Compactum That Cannot Be an Attractor of a Self-Map on a Manifold
• Finite-dimensional limiting dynamics for dissipative parabolic equations
• Topology and dynamics of unstable attractors
• A Duality Between Certain Spheres and Arcs in S 3
• A New Proof of Brown's Collaring Theorem
• Remarks on Certain Pathological Open Subsets of 3-Space and Their Fundamental Groups
• Locally flat imbeddings of topological manifolds

This page was built for publication: Arcs, balls and spheres that cannot be attractors in $\mathbb {R}^3$