Last Updated:2025/11/27
Sentence

球を自己交差させながらも折り目を作らずに三次元空間で裏返すことができるというトポロジー上の非直感的な事実は、多くの数学者を驚かせました。

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Smale's paradox surprised many mathematicians by showing that a sphere can be turned inside out in three-dimensional space with self-intersections but without creating any creases.

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Smale's paradox surprised many mathematicians by showing that a sphere can be turned inside out in three-dimensional space with self-intersections but without creating any creases.

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Related words

Smale's paradox

Proper noun
Japanese Meaning
Smaleのパラドックス:トポロジーにおける直感に反する現象で、三次元空間内において、自己交差を許容しながらも折り目を作らずに球を内側から外側へ反転させることが可能であるという事実
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球を自己交差させながらも折り目を作らずに三次元空間で裏返すことができるというトポロジー上の非直感的な事実は、多くの数学者を驚かせました。

English - English

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