doi: 10.17706/ijapm.2017.7.2.118-127
On Cartesian Nets and Fubini-Tonelli Type Theorem
Mangatiana A. Robdera
- Department of Mathematics, University of Botswana, 4775 Notwane Road, Gaborone, Botswana
Abstract
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.
Keywords
- Cartesian nets
- Fubini-Tonelli theorem
- vector integration
How to Cite
Mangatiana A. Robdera, "On Cartesian Nets and Fubini-Tonelli Type Theorem," International Journal of Applied Physics and Mathematics, vol. 7, no. 2, pp. 118-127, 2017. https://doi.org/ 10.17706/ijapm.2017.7.2.118-127
Copyright & License
Copyright © 2017 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).