Disc Theorem

(Theory)

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Theory
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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.

Technology Types

differential topologypropositionstatementtheoremtheorems in differential topologytheorems in topologytheory

Synonyms

Disk theorem

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