A Compactum That Cannot Be an Attractor of a Self-Map on a Manifold
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Publication:4286427
DOI10.2307/2159910zbMath0842.55007OpenAlexW4243384291MaRDI QIDQ4286427
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
Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Shape theory (55P55)
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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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