Resumen de Multiplication of crowns

P.J. Witbooi

• 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].