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

DOI registrant

Springer Nature

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

Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.

Does it back the claim? Not recorded. Neither this nor any other of the 3 citations of this work carries a recorded support check.

Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.

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