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Jun 11, 2011 at 23:54 comment added Ryan Budney Perhaps you're making a spelling mistake. Surely Armstrong wrote convex hull not the complex hull. I've never seen the term complex hull before.
Apr 9, 2011 at 4:02 comment added Tom Goodwillie Armstrong says "in general position".
Apr 9, 2011 at 2:38 answer added Igor Rivin timeline score: 1
Apr 8, 2011 at 18:12 comment added Emil Jeřábek The standard definition is that $v_0,\dots,v_k$ are affinely independent. (The definition on Wikipedia uses the equivalent condition that it has dimension $k$.)
Apr 8, 2011 at 18:03 answer added Erik P. timeline score: 0
Apr 8, 2011 at 17:42 comment added Faisal Typically one requires the vertices $v_0,\ldots,v_k$ to be in general position. Are you sure there is no such requirement in Armstrong's text? I guess if not, then one can speak of a "degenerate k-simplex", in the same sense that a line (1-simplex) is a degenerate triangle (2-simplex).
Apr 8, 2011 at 17:32 history asked Avi Steiner CC BY-SA 3.0