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Separation Of The N-Sphere By An (N - 1)-Sphere, James C. Cantrell
Separation Of The N-Sphere By An (N - 1)-Sphere, James C. Cantrell
Masters Theses
In this thesis we consider certain (n-1)-spheres embedded in S^n (we will frequently use the fact that S^n is topologically equivalent to the one point compactification of E^n). The problem is then to establish the existence or non-existence of certain topological properties of the two domains into which S^n is separated by the given (n-1)-spheres.