Last Updated
：2025/11/27
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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(topology) The non-intuitive fact that it is possible to turn a sphere inside out in a three-dimensional space with possible self-intersections but without creating any crease.
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Smale's paradox
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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