Multiplication of crowns

• P. J. Witbooi ^[1]
  1. [1] University of the Western Cape

     University of the Western Cape

     City of Cape Town, Sudáfrica

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 54, Nº. 2, 2013, págs. 29-36
• Idioma: inglés
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• Resumen

  • It is known that the only finite topological spaces that are H-spaces are the discrete spaces. For a finite poset which is weakly equivalent to an H-space, a generalized multiplication may be found after suitable subdivision. In this paper we construct minimal models of the k-fold generalised multiplications of circles in the category of relational structures, including poset models. In particular, we obtain higher dimensional analogues of a certain ternary multiplication of crowns [Hardie and Witbooi, Topology Appl. 154 (2007), no. 10, 2073-2080].