I don't claim credit (if that's the right word) for introducing this use of "schizophrenic". I got it from an early draft of Harold Simmons's paper "A couple of triples" -- though Harold changed his terminology before the published version appeared (Topology Appl. 13, 1982). In "Sheaves in Geometry and Logic" (p. 280), Mac Lane and Moerdijk credit John Isbell with having introduced the term, but I don't know of any publication where John used it. Peter Johnstone On Wed, 27 Oct 2010, Fred E.J. Linton wrote:
At the Halifax Octoberfest just ended, I had mistakenly, in a private conversation, suggested looking in or near Chapter 4 section 5 of PTJ's Stone Spaces for occurrence of the word "schizophrenic." I regret that error. Better places to look might be page 268 of that book, or passim on pages 254-262, and thereabouts. Grosso modo: not Chapter 4 section 5, but Chapter 6 section 4.
Cheers, -- Fred
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