The generalized Poincaré conjecture in higher dimensions

DOI10.1090/S0002-9904-1960-10458-2zbMath0099.39201OpenAlexW2002080519WikidataQ107379596 ScholiaQ107379596MaRDI QIDQ3280642

Stephen Smale

Publication date: 1960

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

Full work available at URL: https://doi.org/10.1090/s0002-9904-1960-10458-2

zbMATH Keywords

differential topologygeneralized Poincaré conjecture

Mathematics Subject Classification ID

Differentiable structures in differential topology (57R55) Homotopy spheres, Poincaré conjecture (57R60)

Related Items (17)

Morse homology for generating functions of Lagrangian submanifolds ⋮ An invariant for certain smooth manifolds ⋮ 5-dimensional contact manifolds with second Betti number \(b_ 2=0\) ⋮ Isolating blocks for Morse flows ⋮ Topological and Geometric Rigidity for Spaces with Curvature Bounded Below ⋮ Trace embeddings from zero surgery homeomorphisms ⋮ Counterexamples in 4-manifold topology ⋮ Unnamed Item ⋮ A geometric method in differential topology ⋮ Nonnegatively Curved Contact Manifolds ⋮ The generalised Poincaré conjecture ⋮ On the topology of Riemannian manifolds where the conjugate points have a similar distribution as in symmetric spaces of rank 1 ⋮ Spectral sequences in Conley’s theory ⋮ Obstructions to the smoothing of piecewise-differentiable homeomorphisms ⋮ On the topology of compact contact manifolds ⋮ Global dynamics of Morse-Smale systems ⋮ Surface basic sets with wildly embedded supporting surfaces

Cites Work

• Unnamed Item
• Morse inequalities for a dynamical system
• On embeddings of spheres

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