Boundaries of symmetric complexes (Ex)

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  1. Show that the boundary of a well connected 1-dimensional symmetric complex is isomorphic to a 0-dimensional symmetric complex associated with a symmetric hyperbolic form.
  2. Show that the boundary of a well connected 2-dimensional symmetric complex is isomorphic to a 1-dimensional symmetric complex associated with a symmetric hyperbolic formation which is a boundary (in the sense of formations).

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