A Compactum That Cannot Be an Attractor of a Self-Map on a Manifold

DOI10.2307/2159910zbMath0842.55007OpenAlexW4243384291MaRDI QIDQ4286427

Bernd Günther

Publication date: 16 July 1996

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

Full work available at URL: https://doi.org/10.2307/2159910

zbMATH Keywords

manifoldattractorsolenoidhomeomorphisms

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Shape theory (55P55)

Related Items (6)

On the set of wild points of attracting surfaces in \(\mathbb{R}^3\) ⋮ The realization problem of non-connected compacta as attractors ⋮ The geometric index and attractors of homeomorphisms of ⋮ Knotted toroidal sets, attractors and incompressible surfaces ⋮ Arcs, balls and spheres that cannot be attractors in $\mathbb {R}^3$ ⋮ Minimal dynamics on Menger manifolds

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