Separation of the n-Sphere by an (n - 1)-Sphere

Author

James C. Cantrell, University of Tennessee - Knoxville

Date of Award

12-1961

Degree Type

Thesis

Degree Name

Doctor of Philosophy

Major

Mathematics

Major Professor

Orville G. Harrold

Committee Members

E. Cohen, Lee Simmons, & W.S. Makavier

Abstract

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.

Recommended Citation

Cantrell, James C., "Separation of the n-Sphere by an (n - 1)-Sphere. " Master's Thesis, University of Tennessee, 1961.
https://trace.tennessee.edu/utk_gradthes/2948