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Topologies for the continuous representability of every nontotal weakly continuous preorder

Author

Listed:
  • Gianni Bosi

    (Università di Trieste)

  • Magalì Zuanon

    (Università degli Studi di Brescia)

Abstract

Necessary and sufficient conditions on a topology t on an arbitrary set X are presented, under which every not necessarily total preorder, which in addition satisfies a general continuity condition, namely weak continuity, admits a continuous order-preserving real-valued function. Some interesting properties associated with this notion are studied.

Suggested Citation

  • Gianni Bosi & Magalì Zuanon, 2020. "Topologies for the continuous representability of every nontotal weakly continuous preorder," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 369-378, October.
    • Handle: RePEc:spr:etbull:v:8:y:2020:i:2:d:10.1007_s40505-020-00189-2
    DOI: 10.1007/s40505-020-00189-2
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    References listed on IDEAS

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    More about this item

    Keywords

    Complete separable system; Useful topology; Strongly useful topology; Normal Hausdorff-space;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • D00 - Microeconomics - - General - - - General

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