On cartesian nets and fubini-tonelli type theorem
Robdera, Mangatiana A.
PublisherInternational Journal of Applied Physics and Mathematics, http://www.ijapm.org/
Rightsit is available under Creative Commons License
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The notion of Cartesian net is introduced in order to provide an appropriate setting for the notion of double limit for directed functions defined on Cartesian products of spaces. As an application, we obtain extensions of the Fubini-Tonelli type theorem to the setting of the extended notion of integrability recently introduced.