Linearly Ordered Spaces

  • Edwin E. Moise
Part of the Universitext book series (UTX)


Let [X,<] be a linearly ordered set, in the sense defined in Section 5. We define the induced neighborhood system N = N(<) in the following way. For each a ∈ X, let
$$\left( { - \infty ,a} \right)\; = \;\left\{ {x\left| {x\; < \;a} \right.} \right\},\;\left( {a,\infty } \right)\; = \;\left\{ {x\left| {a\; < \;x} \right.} \right\}.$$

Copyright information

© Springer-Verlag New York, Inc. 1982

Authors and Affiliations

  • Edwin E. Moise
    • 1
  1. 1.Department of Mathematics Queens CollegeCity University of New YorkFlushingUSA

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