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A History of Results on Orderability and Suborderability

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Handbook of the History of General Topology

Part of the book series: History of Topology ((HIPO,volume 2))

Abstract

This is an early history of the theory of ordered sets and of results characterizing various classes of orderable and suborderable spaces until 1975. Many excellent results (such as most of D.J. Lutzer’s work and the influence of the Souslin conjecture) which only give properties of these spaces are not covered. However, at the end of this article historical references are given for the more general theory of ordered spaces including set-theoretical developments.

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  1. University of Miami, Coral Gables, Florida, USA

    S. Purisch

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Editors and Affiliations

  1. Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, USA

    C. E. Aull

  2. Department of Mathematics and Computer Science, University of Antwerp, RUCA, Antwerp, Belgium

    R. Lowen

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Dedicated to Horst Herrlich on his 60th birthday

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Purisch, S. (1998). A History of Results on Orderability and Suborderability. In: Aull, C.E., Lowen, R. (eds) Handbook of the History of General Topology. History of Topology, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1756-4_10

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