Teresa Abreu[1]^, Eusébio Corbacho[2], Vaja Tarieladze[3]

tabreu@ipca.pt, corbacho@uvigo.es, tar@gw.acnet.ge

(recebido em 26 de Maio de 2008; aceite em 19 de Setembro de 2008)

Abstract. In this paper first we present elements of a theory of integration of a quasi-uniform conoid valued functions with respect to a positive measure following the doctoral thesis of the first author "Integration on Uniform Type Conoids". Then we show that it is possible to apply this theory for integration of functions with values in the hyperspace of non-empty convex subsets of a given quasi-uniform conoid. To realize such a possibility we treat the considered hyperspace as a quasi-uniform conoid in a rather natural way (as this is done in our joint work "Uniform type Hyperspaces").

Keywords: Topological conoid, quasi-uniform monoid, quasi-uniform conoid

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Bibliografia

[1]  Abreu, T. ;  Integration on Quasi-uniform Conoids, Thesis Doctoral, Vigo, (2005).          [ Links ]

[2]  Abreu, T.; Corbacho, E.; Tarieladze, V.;  Uniform Type Conoids, Communication on International Congress of Mathematicians, Madrid, Spain, (2006). 

[3]  Abreu, T.; Corbacho, E.; Tarieladze, V.;  Uniform Type Hyperspaces, Communication on Sixth Italian-Spanish Conference on General Topology and Applications. To appear in Matematica Panonnica, Italy, (2007).

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1 IPCA – Escola Superior de Gestão, Instituto Politécnico do Cávado e do Ave, Barcelos, Portugal

2 Departamento de Matematica Aplicada 1, E. T. S. E. de Telecomunicacion, Universidad de Vigo, Vigo, Spain