Counterexamples in Analysis

Gelbaum, B. R., & Olmsted, J. M. H. (1964). Counterexamples in Analysis.

Type

Book

Intellectual base

Review or monograph

Year

1964

Link

https://openlibrary.org/works/OL3490856W not authoritativefound

Cited by

1 citation across 1 artifact.

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

Domain-specific

• Gδ Set
  • The popcorn function has the irrationals as its continuity set, providing a concrete non-open Gδ example

    This sourceGelbaum and Olmsted give the standard example of a function continuous at every irrational and discontinuous at every rational; reading its continuity set as a non-open G-delta is the classification the article adds.

    Supported in partVerified against the source

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Verification

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Registry ID ref:26a7d247253c · see in the full table