Perfect images of generalized ordered spaces

  title={Perfect images of generalized ordered spaces},
  author={Gary Gruenhage and David Lutzer},
  journal={Fundamenta Mathematicae},
We study the class of perfect images of generalized ordered (GO) spaces, which we denote by PIGO. Mary Ellen Rudin’s celebrated result characterizing compact monotonically normal spaces as the continuous images of compact linearly ordered spaces implies that every space with a monotonically normal compactification is in PIGO. But PIGO is wider: every metrizable space is in the class, but not every metrizable space has a monotonically normal compactification. On the other hand, a locally compact… 
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    Canadian Mathematical Bulletin
  • 1978
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