Measure Theory pp 161-183 | Cite as

Transformations and Functions

  • Paul R. Halmos
Part of the Graduate Texts in Mathematics book series (GTM, volume 18)


In every mathematical system it is of interest to investigate the transformations that leave some or all structural properties of the system invariant. While it is not our intention to study in great detail the transformations that occur in measure theory, we shall in this section discuss some of their fundamental properties.


Measure Space Boolean Algebra Borel Subset Finite Measure Compact Hausdorff Space 
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© Springer Science+Business Media New York 1950

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  • Paul R. Halmos

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