Seifert conjecture

id: seifert-conjecture-253-6440546
title: Seifert conjecture
text: In mathematics, the Seifert conjecture states that every nonsingular, continuous vector field on the 3-sphere has a closed orbit. It is named after Herbert Seifert. In a 1950 paper, Seifert asked if such a vector field exists, but did not phrase non-existence as a conjecture. He also established the conjecture for perturbations of the Hopf fibration. The conjecture was disproven in 1974 by Paul Schweitzer, who exhibited a C 1 counterexample. Schweitzer's construction was then modified by Jenny H
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original url: https://en.wikipedia.org/wiki/Seifert_conjecture
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date modified: 2023-11-08T21:06:38Z
main entity: {"identifier":"Q376443","url":"https://www.wikidata.org/entity/Q376443"}
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