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C(X)-objects in the Category of Semi-affine Lattices

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Abstract

In our previous paper (Hušek and Pulgarín, Topol Appl, doi:10.1016/j.topol.2009.07.013, 2009) we characterized the set C(X) of real-valued continuous functions on a topological space X as a real ℓ-group. The present paper weakens the situation to the level of semi-affine lattices.

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Authors and Affiliations

  1. Charles Univ., Sokolovská 83, 18675, Prague, Czech Republic

    Miroslav Hušek

  2. Univ. J.E.Purkyně, České mládeže 8, 40096, Ústí nad Labem, Czech Republic

    Miroslav Hušek

  3. Univ. of Extremadura, Avda. Universidad s/n, 10071, Cáceres, Spain

    Antonio Pulgarín

Authors
  1. Miroslav Hušek
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  2. Antonio Pulgarín
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Corresponding author

Correspondence to Antonio Pulgarín.

Additional information

Devoted to Bob Lowen on the occasion of his recent anniversary.

This research has been partially supported by Junta de Extremadura–Consejería de Economía, Comercio e Innovación, y Fondo Social Europeo under grants GRU07115 and GRU09026.

The first author acknowledges the support of the grants MSM 0021620839 and GAAV IAA100190901.

The second author acknowledges the support of the grant TIN2008-06796-C04-03/TSI.

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Hušek, M., Pulgarín, A. C(X)-objects in the Category of Semi-affine Lattices. Appl Categor Struct 19, 439–454 (2011). https://doi.org/10.1007/s10485-009-9219-y

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  • DOI: https://doi.org/10.1007/s10485-009-9219-y

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