Wetzel's Problem, Paul Erdös, and the Continuum Hypothesis: A Mathematical Mystery

Authors

Stephan Ramon Garcia, Pomona CollegeFollow
Amy L. Shoemaker '14, Pomona College

Student Co-author

Pomona Undergraduate

Document Type

Article

Department

Mathematics (Pomona)

Publication Date

2015

Keywords

Wetzel's problem, Paul Erdös, distinct analytic functions, Boneyard Book

Abstract

We are concerned here with the curious history of Wetzel's problem: If [f_alpha] is a family of distinct analytic functions (on some fixed domain) such that for each z the set of values [f_alpha(z)] is countable, is the family itself countable?

Comments

Final published version can be found at: Garcia, S.R., Shoemaker, A.L., Wetzel’s Problem, Paul Erdös, and the Continuum Hypothesis: A Mathematical Mystery, Notices of the American Mathematical Society 62 (2015), no. 3, 243-247.

Rights Information

© 2015 American Mathematical Society

Recommended Citation

Garcia, S.R., Shoemaker, A.L., Wetzel’s Problem, Paul Erdö​s, and the Continuum Hypothesis: A Mathematical Mystery, Notices of the American Mathematical Society 62 (2015), no. 3, 243-247.