1 On Dense Subspaces of Generalized Ordered Spaces

نویسندگان

  • Harold R. Bennett
  • David J. Lutzer
  • Steven D. Purisch
چکیده

In this paper we study four properties related to the existence of a dense metrizable subspace of a generalized ordered (GO) space. Three of the properties are classical, and one is recent. We give new characterizations of GO-spaces that have dense metrizable subspaces, investigate which GO-spaces can embed in GO spaces with one of the four properties, and provide examples showing the relationships between the four properties. AMS Subject codes (1980 scheme): 54F05, 54E35

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تاریخ انتشار 2002