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evert |
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evert to turn inside out; to turn outward. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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The trouble with these eversions, however, was that they consisted of a series of stages that didn't lead automatically from one to the next. This strategy allowed him to introduce corrugations--wavy bends--to make these shapes extremely pliable, gaining insights into how immersions maintain their smoothness during transformations such as eversions. In 1959, Smale, then a graduate student, proved an abstract theorem that indirectly leads to the proposition making sphere eversions possible. |
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