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Linearly Opaque Self-Homeomorphisms of Rn
by
Denise M. Halverson
Brigham Young University
Coauthors: David G. Wright (Brigham Young University)
A homeomorphism \psi: Rn --> Rn is linearly opaque if given any two lines, l and l' in Rn, \psi(l) \cap l' =/= \emptyset. Hence the orthogonal projection of \psi(l) to any hyperspace of Rn is onto for every line l in the domain. The construction of such homeomorphisms will be demonstrated.
Date received: February 15, 2000
Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cady-60.