Conventional Operations on Nonstandard Constructions

  • Yeneng Sun
Part of the Mathematics and Its Applications book series (MAIA, volume 510)


The aim of this chapter is to illustrate how some special properties of nonstandard constructions based on conventional mathematics can be combined with ordinary mathematical methods to reveal completely new mathematical phenomena in a systematic way. The particular nonstandard construction to be exploited here is a special type of standard probability space, the Loeb space, introduced by Peter Loeb in [19]. The reader is referred to Chapter 5 of this book for this basic external object in nonstandard analysis.


Conventional Operation Borel Probability Measure Sample Function Nonstandard Analysis Multiplicative Property 
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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • Yeneng Sun
    • 1
  1. 1.Department of MathematicsNational University of SingaporeSingaporeRepublic of Singapore

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