The Totalisation

Rahul Jain
Additional contact information
Rahul Jain: Indian Institute of Science (IISc), Indian Police Service

Chapter Chapter 11 in Lebesgue’s Theory of Integration, 2025, pp 209-246 from Springer

Abstract: Abstract This theorem, due to M. Baire, is beyond the scope of our subject. However, on one hand, we will use the necessary condition it expresses, and on the other hand, and most importantly, the transfinite method that we will use to prove that the stated condition is sufficient, is the very same method which allowed M. Denjoy to completely solve the problem of primitive functions. Also, we will henceforth consistently use transfinite numbers. Readers who are not familiar with the use of these numbers should study the Note located at the end of the volume before reading this chapter.

Date: 2025
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-96-1169-0_11

Ordering information: This item can be ordered from
http://www.springer.com/9789819611690

DOI: 10.1007/978-981-96-1169-0_11

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().