What is recorded here?
Proved the generalized Poincaré conjecture for differentiable manifolds in dimensions greater than four using handle and cobordism methods.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The record is the exact 1961 Annals of Mathematics paper. The classical three-dimensional conjecture, dimension four, the h-cobordism theorem’s broader development and Perelman’s later work remain separate.
Read the original work
- Smale, Generalized Poincaré Conjecture in Dimensions Greater Than Four
- MathNet record for Smale generalized Poincaré paper
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People and systems
Stephen Smale
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Documented countries / regions: United States
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English catalogue narrative
Smale: the generalized Poincaré conjecture above dimension four
Proved the generalized Poincaré conjecture for differentiable manifolds in dimensions greater than four using handle and cobordism methods.
Scientific scope
The record is the exact 1961 Annals of Mathematics paper. The classical three-dimensional conjecture, dimension four, the h-cobordism theorem’s broader development and Perelman’s later work remain separate.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Stephen Smale
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.