Measurable Spaces and Measurable Functions

Jewgeni H. Dshalalow
Additional contact information
Jewgeni H. Dshalalow: Florida Institute of Technology, Mathematical Sciences

Chapter Chapter 4 in Foundations of Abstract Analysis, 2013, pp 239-260 from Springer

Abstract: Abstract In the previous chapter we studied general topological spaces. A topology was defined as a collection of sets (on a carrier) that is closed with respect to the formation of arbitrary unions and finite intersections. In the present chapter, we introduce various classes of sets similar to topological spaces but serving other purposes. One of them prepares the reader to another part of analysis, integration. Beyond the familiar integration we experienced in calculus, we need to measure much more general sets than those used for the Riemann integral. For instance, we consider abstract sets that are encountered in the theory of probability. In addition, we largely extend the existing class of integrable functions.

Keywords: Measurable Function; Topological Space; Measurable Space; Inverse Image; Countable Union (search for similar items in EconPapers)
Date: 2013
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:978-1-4614-5962-0_4

Ordering information: This item can be ordered from
http://www.springer.com/9781461459620

DOI: 10.1007/978-1-4614-5962-0_4

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 ().