Topologies for the continuous representability of every nontotal weakly continuous preorder

Gianni Bosi and Magalì Zuanon ()
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Magalì Zuanon: Università degli Studi di Brescia

Economic Theory Bulletin, 2020, vol. 8, issue 2, No 14, 369-378

Abstract: 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.

Keywords: Complete separable system; Useful topology; Strongly useful topology; Normal Hausdorff-space (search for similar items in EconPapers)
JEL-codes: C02 D00 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s40505-020-00189-2

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