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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
Tame, Finite Complexes In Three-Space, P. H. Doyle Iii
Tame, Finite Complexes In Three-Space, P. H. Doyle Iii
Doctoral Dissertations
Introduction: A fundamental problem in topology of Euclidean n-space is to determine under what conditions two homeomorphic subsets of an n-space are strongly homeomorphic; that is, to determine when one can be carried onto the other by homeomorphism of space onto itself. This problem is of particular importance when one of the two subsets is a polyhedron.
Approximately Finite Geometries And Their Coordinate Rings, James Howard Alexander
Approximately Finite Geometries And Their Coordinate Rings, James Howard Alexander
Doctoral Dissertations
Introduction: Von Newmann [8]1 has discovered a class of geometries in which the undefined elements are subspaces and the undefined operations are meets and joins of subspaces. His axioms require that the system consisting of the set ℒ of subspaces together with the two operations form an irreducible, complete, complemented, modular lattice satisfying an additional dual pair of continuity of conditions.