Measure Theory

Halmos, P. R. (1950). Measure Theory. Springer.

Type

Book

Intellectual base

Review or monograph

Year

1950

DOI

10.1007/978-1-4684-9440-2

ISBN

9781468494426

Link

https://doi.org/10.1007/978-1-4684-9440-2

Cited from

mathematics

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Measure
  • Length, area, volume, mass, probability, and "fraction of a population" are all measures on different spaces, and they share one structural skeleton.

    This sourceStandard reference defining a measure as a non-negative countably additive set function on a σ-algebra, with length, area, volume, mass, and probability as instances.

Domain-specific

• Complete measure
  • A measure space is complete when S⊆N, N measurable and μ(N)=0 always implies S is measurable, necessarily with μ(S)=0.
• Singular function
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.

Verification

This reference passed the adversarial substantiation pipeline: it was checked to exist and to support the claim it is attached to. See how references were verified.

Registry ID ref:935a061eabe8 · see in the full table