Geodesic
The Exceptional Sets in the Definition of the Pn -Integral
Canadian mathematical bulletin, Tome 25 (1982) no. 4, pp. 385-391

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It has been recently observed by S. N. Mukhopadhyay that the various definitions of the Pn -integral are not complete unless it is shown that the exceptional scattered set allowed in the definition is not important. Utilizing the fact that on the real line a scattered set is countable, and adapting known methods for coping with exceptional countable sets, it is proved that the definitions of the Pn -integral are complete. It is then clear that the concept of scattered set is not essential to the definition of the Pn -integral.
DOI : 10.4153/CMB-1982-057-x
Mots-clés : 26A39, 26A51 
Cross, G. E. The Exceptional Sets in the Definition of the Pn -Integral. Canadian mathematical bulletin, Tome 25 (1982) no. 4, pp. 385-391. doi: 10.4153/CMB-1982-057-x
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     title = {The {Exceptional} {Sets} in the {Definition} of the {Pn} {-Integral}},
     journal = {Canadian mathematical bulletin},
     pages = {385--391},
     year = {1982},
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     doi = {10.4153/CMB-1982-057-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-057-x/}
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