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.
A different although related and similar named result is the disc embedding theorem proved by Freedman in 1982. [1] [2]
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.
A different although related and similar named result is the disc embedding theorem proved by Freedman in 1982. [1] [2]