Stephen H. McCleary

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The lexicographic power ∆Γ of chains ∆ and Γ is, roughly, the Cartesian power ∏ γ∈Γ∆, totally ordered lexicographically from the left. Here the focus is on certain powers in which either ∆ = R or Γ = R, with emphasis on when two such powers are isomorphic and on when ∆Γ is 2-homogeneous. The main results are: 1) For a countably infinite ordinal α, Rα+α ' R.(More)
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