Counterexamples in Analysis¶
Gelbaum, B. R., & Olmsted, J. M. H. (1964). Counterexamples in Analysis.
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.
- The popcorn function has the irrationals as its continuity set, providing a concrete non-open Gδ example
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