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About: Disc theorem     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatTheoremsInDifferentialTopologyyago:WikicatTheoremsInTopologyyago:Abstraction100002137yago:Communication100033020yago:Message106598915yago:Proposition106750804yago:Statement106722453yago:Theorem106752293 New Facet based on Instances of this Class

In the area of mathematics known as differential topology, the disc theorem of 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.