| 翻訳と辞書 | Smale conjecture| Smale conjecture  : ウィキペディア英語版 | 
 The Smale conjecture, named after Stephen Smale, is the statement that the diffeomorphism group of the 3-sphere has the homotopy-type of its isometry group, the orthogonal group O(4).
 == Equivalent statements ==
 
 There are several equivalent statements of the Smale conjecture.  One is that the component of the unknot in the space of smooth embeddings of the circle in 3-space has the homotopy-type of the round circles, equivalently, O(3).  Another equivalent statement is that the group of diffeomorphisms of the 3-ball which restrict to the identity on the boundary is contractible.
 
 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』
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