Abstract
An ultraproduct can be a helpful organizing principle in presenting solutions of problems at many levels, as argued by Terence Tao. We apply it here to the solution of a calculus problem: every infinite sequence has a monotone infinite subsequence, and give other applications.
Original language | English |
---|---|
Pages (from-to) | 149-153 |
Number of pages | 5 |
Journal | Open Mathematics |
Volume | 16 |
Issue number | 1 |
DOIs | |
State | Published - 2018 |
Bibliographical note
Publisher Copyright:© 2018 Błaszczyk et al. 2018.
Keywords
- Compactness
- Monotone subsequence
- Ordered structures
- Saturation
- Ultrapower