Monotone subsequence via ultrapower

Piotr Błaszczyk, Vladimir Kanovei, Mikhail G. Katz, Tahl Nowik

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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 languageEnglish
Pages (from-to)149-153
Number of pages5
JournalOpen Mathematics
Issue number1
StatePublished - 2018

Bibliographical note

Publisher Copyright:
© 2018 Błaszczyk et al. 2018.


  • Compactness
  • Monotone subsequence
  • Ordered structures
  • Saturation
  • Ultrapower


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