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The Space of Wedges in Rn
by
Eric Partridge
W subset or equal Rn is a wedge in Rn iff R( >= 0)W = W and ClosureW = W and W + W = W. Let S(n-1) be the n-1 sphere in Rn. Let Wedges(n) = { W \cap S(n-1) | W is a wedge in Rn } with the relative Vietoris topology from S(n-1). Using ideas from convex geometry and the C*-algebra C*(Wedges(n), C) and group actions among other tools, we work to extend to Wedges(n) ideas from the theory of (regular) convex polytopes among other theories.
Gierz et alia, A Compendium of Continuous Lattices
Gruber and Wills, Handbook of Convex Geometry
Hilgert, Hofmann, Lawson, Lie Groups, Convex Cones, and Semigroups
Klein, Vorlesungen über das Ikosaeder ...
Lamotke, Regular Solids and Isolated Singularities
Raticliffe, Foundations of Hyperbolic Manifolds
Date received: April 12, 1996
Copyright © 1996 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 # caaf-61.