Corpus ID: 118222001

A Note on Touching Cones and Faces

  title={A Note on Touching Cones and Faces},
  author={Stephan Weis},
  journal={arXiv: Metric Geometry},
  • Stephan Weis
  • Published 2010
  • Mathematics
  • arXiv: Metric Geometry
  • We study touching cones of a (not necessarily closed) convex set in a finitedimensional real Euclidean vector space and we draw relationships to other concepts in Convex Geometry. Exposed faces correspond to normal cones by an antitone lattice isomorphism. Poonems generalize the former to faces and the latter to touching cones, these extensions are non-isomorphic, though. We study the behavior of these lattices under projections to affine subspaces and intersections with affine subspaces. We… CONTINUE READING

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