Who thinks it's simply connected?

谁认为它是单连通的？

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Who thinks it's not simply connected?

谁认为它不是单连通的？

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Or, as we will see soon, in a simply connected region.

稍后我们会知道，在一个单连通区域上也可以。

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Any object with a simply connected surface can be smoothed out to look like a sphere.

ECONOMIST: Proof of the truth of the Poincar�� conjecture

In this example, the surface is not simply connected and any smoothed-out object looks like a torus with at least one hole.

ECONOMIST: Proof of the truth of the Poincar�� conjecture

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.

ECONOMIST: Proof of the truth of the Poincar�� conjecture