: Mathématiques: disc theorem

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disc theorem

In the area of mathematics known as differential topology, the disc theorem of Palais (1960) states that two embeddings of a closed k-disc into a connected n-manifold are ambient isotopic provided that if k = n the two embeddings are equioriented. The disc theorem implies that the connected sum of smooth oriented manifolds is well defined.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Disc_theorem)

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