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Cleavability in Ordered Spaces

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Abstract

In this paper we study the role of cleavability and divisibility in the topology of generalized ordered (GO-)spaces. We characterize cleavability of a GO-space over the class of metrizable spaces, and over the spaces of irrational and rational numbers. We present a series of examples related to characterizations of cleavability over separable metric spaces and over the space of real numbers.

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Authors and Affiliations

  1. Texas Tech University, Lubbock, TX, 79409, U.S.A

    Harold Bennett & Robert Byerly

  2. College of William and Mary, Williamsburg, VA, 23187, U.S.A

    David Lutzer

Authors
  1. Harold Bennett
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  2. Robert Byerly
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  3. David Lutzer
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Bennett, H., Byerly, R. & Lutzer, D. Cleavability in Ordered Spaces. Order 18, 1–17 (2001). https://doi.org/10.1023/A:1010682504379

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