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sphere theorem
Theorem 1 (sphere theorem).
If is a differentiable orientable 3-manifold such that is not trivial, then there exists an embedding such that its image homotopy class is not equal to zero.
This theorem was established and proved by C. Papakyriakopoulos in 1957.
Related:
3Manifolds
Type of Math Object:
Theorem
Major Section:
Reference
Groups audience:
Mathematics Subject Classification
57M35 Dehn's lemma, sphere theorem, loop theorem, asphericity- Forums
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new question: Sorry to steal a few minutes of your time for this question, but i honestly don't know what else to do. by Whrazithar
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new correction: typo+finite measure hypothesis by Filipe
new question: Sorry to steal a few minutes of your time for this question, but i honestly don't know what else to do. by Whrazithar
new question: equality of the determinants of submatrices of an orthogonal matrix by ismayli
Jun 11
new correction: Typo by suitangi
Jun 2
new question: Creating another set with same cardinality. by hkkass
Jun 1
new image: ProblemOneRevised by unlord
new Education: Chapter II by rspuzio
May 31
new collection: The Calculus by Davis and Brenke by rspuzio
new question: Proofs by weixifan
new question: Summation Integration Question by trevor.nickle
May 27
new correction: typo+finite measure hypothesis by Filipe


