The Exceptional Sets in the Definition of the Pn-Integral

Autor:	G. E. Cross
Rok vydání:	1982
Předmět:	Set (abstract data type) Discrete mathematics General Mathematics Countable set Real line Mathematics
Zdroj:	Canadian Mathematical Bulletin. 25:385-391
ISSN:	1496-4287 0008-4395
DOI:	10.4153/cmb-1982-057-x
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6c9bc2d3510b557a96d96127f088c1ca https://doi.org/10.4153/cmb-1982-057-x Zobrazit plný text záznamu