measure space
mõõduruum
olemus
ProofWiki:
kolmik (X, Σ, μ), kus
- Σ on hulga X mingi σ- algebra
- μ on mõõt σ- algebras Σ
=
triple (X, Σ, μ), where
- X is a set
- Σ is a σ- algebra on X
- μ is a measure on Σ
mõõtuv hulk
on hulga Σ iga element, st hulga X iga alamhulk,
mis sisaldub hulgas Σ
ülevaateid
https://en.wikipedia.org/wiki/Measure_space
https://www.encyclopediaofmath.org/index.php/Measure_space
https://personalpages.manchester.ac.uk/staff/charles.walkden/ergodic-theory/lecture08.pdf
http://www.math.uwaterloo.ca/~beforres/PMath451/Course_Notes/Chapter2.pdf