His conjecture, made in 1904, was that in this four-dimensional world, all closed three-dimensional surfaces that are simply connected could be transformed to look like a three-dimensional sphere.
他在1904年就提出猜想:在四维空间,所有单连通的封闭三维面都能转化为一个三维球体。
As mathematicians say, “Every simply connected closed 3-manifold is homeomorphic to a 3-sphere.”
用数学语言表达就是“每个单连通3重(3-manifold)封闭体与一个三维球体同胚(homeomorphic)。”
As mathematicians say, "Every simply connected closed 3-manifold is homeomorphic to a 3-sphere."
用数学语言表达就是“每个单连通3重(3-manifold)封闭体与一个三维球体同胚(homeomorphic)。”
Dr Steger pointed out that closed eyes may not always equal shut-eye: a person may close them just to build a sphere of privacy in a society with little of it.
Steger博士指出,闭眼可能并不总是意味着在睡觉:一个人闭上眼睛可能只是为了在没什么隐私的社会构建一个私人领域。
Dr Steger pointed out that closed eyes may not always equal shut-eye: a person may close them just to build a sphere of privacy in a society with little of it.
Steger博士指出,闭眼可能并不总是意味着在睡觉:一个人闭上眼睛可能只是为了在没什么隐私的社会构建一个私人领域。
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