A metrizable completely regular ordered space

نویسندگان

  • Hans-Peter A. Künzi
  • Stephen Watson
چکیده

We construct a completely regular ordered space (X, T ,≤) such that X is an I-space, the topology T of X is metrizable and the bitopological space (X, T ♯,T ♭) is pairwise regular, but not pairwise completely regular. (Here T ♯ denotes the upper topology and T ♭ the lower topology of X.)

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تاریخ انتشار 2010