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The Fundamental Groups Of The Complements Of Some Solid Horned Spheres, Norman William Riebe
The Fundamental Groups Of The Complements Of Some Solid Horned Spheres, Norman William Riebe
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
One of the methods used for the construction of the classical Alexander horned sphere leads naturally to generalization to horned spheres of higher order. Let M2, denote the Alexander horned sphere. This is a 2-horned sphere of order 2. Denote by M3 and M4, two 2-horned spheres of orders 3 and 4, respectively, constructed by such a generalization.
The fundamental groups of the complements of M2, M3, and M4 are derived, and representations of these groups onto the Alternating Group, A5, are found. The form of the presentations …