High Quality Content by WIKIPEDIA articles! In differential topology, Smale's paradox states that it is possible to turn a sphere inside out in a three-dimensional space with possible self-intersections but without creating any crease, a process often called sphere eversion (eversion means "to turn inside out"). This is surprising, and is hence deemed a veridical paradox.This 'paradox' was discovered by Stephen Smale (1958). It is difficult to visualize a particular example of such a turning,...
High Quality Content by WIKIPEDIA articles! In differential topology, Smale's paradox states that it is possible to turn a sphere inside out in a three-dimensional space with possible self-intersections but without creating any crease, a process often called sphere eversion (eversion means "to turn inside out"). This is surprising, and is hence deemed a veridical paradox.This 'paradox' was discovered by Stephen Smale (1958). It is difficult to visualize a particular example of such a turning, although some digital animations have been produced that make it somewhat easier. The first example was exhibited through the efforts of several mathematicians, including Arnold Shapiro and Bernard Morin who was blind. On the other hand, it is much easier to prove that such a "turning" exists and that is what Smale did.
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Молодой известный писатель Маркус Гольдман приезжает в свой новый дом во Флориде — просторный, весь в панорамных окнах, на берегу озера — чтобы в спокойствии и тишине работать над новым романом. В одну грозовую ночь к нему на террасу приходит большой добродушный пес, и Гольдман решает его приютить, а на утро отправляется на поиски хозяина. Каково же было его удивление, когда он узнает, что пес...
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