Real Analysis

Folland, G. B. (1999). Real Analysis: Modern Techniques and Their Applications. Wiley.

Type

Book chapter

Intellectual base

Textbook

Year

1999

Link

https://openlibrary.org/isbn/9780471317166verified

Cited by

4 citations across 4 artifacts.

Domain-specific

• Measure space
  • Completion may enlarge \(\Sigma\) by adding subsets of null sets, so two measure spaces can share \(X\) and the same numerical rule on a smaller family yet differ in measurable structure.
• Null Set
  • In a complete measure space, every subset of a null measurable set is measurable and null; completing a measure adds precisely the subsets needed for that closure.
• Pre-measure
  • … constitutive identity and a convenient observable transfers from A canonical example satisfies the full defining rule of Pre-measure with every parameter and convention explicit. to A careful use of Pre-measure tests its carrier, assumptions, boundary and nearest confusable rather than relying on the label alone..
• Riesz–Markov–Kakutani representation theorem
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.

Verification

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Registry ID ref:d7dabbb16298 · see in the full table