Normally preordered spaces and continuous multi-utilities

Authors

  • Gianni Bosi Università di Trieste
  • Alessandro Caterino Università degli Studi di Perugia
  • Rita Ceppitelli Università degli Studi di Perugia

DOI:

https://doi.org/10.4995/agt.2016.4561

Keywords:

normally preordered space, perfectly normally preordered space, multi-utility representation

Abstract

We study regular, normal and perfectly normal preorders by referring to suitable assumptions concerning the preorder and the topology of the space. We also present conditions for the existence of a countable continuous multi-utility representation, hence a Richter-Peleg multi-utility representation, by assuming the existence of a countable net weight.

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Author Biographies

Gianni Bosi, Università di Trieste

DEAMS

Alessandro Caterino, Università degli Studi di Perugia

Dipartimento di Matematica ed Informatica

Rita Ceppitelli, Università degli Studi di Perugia

Dipartimento di Matematica ed Informatica

References

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Published

2016-04-12

How to Cite

[1]
G. Bosi, A. Caterino, and R. Ceppitelli, “Normally preordered spaces and continuous multi-utilities”, Appl. Gen. Topol., vol. 17, no. 1, pp. 71–81, Apr. 2016.

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