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A topological duality for posets

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Abstract

In this paper, we present a topological duality for partially ordered sets. We use the duality to give a topological construction of the canonical extension of a poset, and we also topologically represent the quasi-monotone maps, that is, maps from a finite product of posets to a poset that are order-preserving or order-reversing in each coordinate.

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Authors and Affiliations

  1. Facultad de Ciencias Exactas y Naturales, Universidad Nacional de La Pampa, Avda. Uruguay 151, 6300, Santa Rosa, La Pampa, Argentina

    Luciano J. González

  2. Departament de Lògica, Història i Filosofia de la Ciència, Universitat de Barcelona, Montalegre 6, 08001, Barcelona, España

    Ramon Jansana

Authors
  1. Luciano J. González
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  2. Ramon Jansana
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Correspondence to Luciano J. González.

Additional information

Presented by J. Raftery.

The research of the first author was supported by Fundación Carolina (Spain) in collaboration with Ministry of Education, Science and Technology (Argentina) and the research of the second author by the research grants 2009SGR-1433 and 2014SGR-788 from the government of Catalonia and the research project MTM2011-25747 from the government of Spain, which includes FEDER funds from the European Union.

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González, L.J., Jansana, R. A topological duality for posets. Algebra Univers. 76, 455–478 (2016). https://doi.org/10.1007/s00012-016-0389-9

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  • DOI: https://doi.org/10.1007/s00012-016-0389-9

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