Volume 7 Number 2 (Apr. 2017)
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IJAPM 2017 Vol.7(2): 118-127 ISSN: 2010-362X
doi: 10.17706/ijapm.2017.7.2.118-127

On Cartesian Nets and Fubini-Tonelli Type Theorem

Mangatiana A. Robdera

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.

Index Terms—Cartesian nets, Fubini-Tonelli theorem, vector integration.

Mangatiana A. Robdera is with Department of Mathematics, University of Botswana, 4775 Notwane Road, Gaborone, Botswana (email: robdera@yahoo.com).

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.

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General Information

ISSN: 2010-362X (Online)
Abbreviated Title: Int. J. Appl. Phys. Math.
Frequency: Quarterly
APC: 500USD
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca 
Abstracting/ Indexing: INSPEC(IET), CNKI, Google Scholar, EBSCO, Chemical Abstracts Services (CAS), etc.
E-mail: ijapm@iap.org

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