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Bosi, G. and Zuanon, M. (2011) Representation of an Interval Order by Means of Two Upper Semicontinuous Functions. International Mathematical Forum, 6, 2067-2071.

has been cited by the following article:

• TITLE: Conditions for the Upper Semicontinuous Representability of Preferences with Nontransitive Indifference

  AUTHORS: Gianni Bosi, Magali Zuanon

  KEYWORDS: Interval Order, Upper Semicontinuous Numerical Representation, Semiorder

  JOURNAL NAME: Theoretical Economics Letters, Vol.4 No.6, June 13, 2014

  ABSTRACT: We present different conditions for the existence of a pair of upper semicontinuous functions representing an interval order on a topological space without imposing any restrictive assumptions neither on the topological space nor on the representing functions. The particular case of second countable topological spaces, which is particularly interesting and frequent in economics, is carefully considered. Some final considerations concerning semiorders finish the paper.