Disc Theorem



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What is Disc theorem?

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.

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differential topologypropositionstatementtheoremtheorems in differential topologytheorems in topologytheory


Disk theorem

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