Covering a function on the plane by two continuous functions on an uncountable square - the consistency

Mariusz Rabus*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

It is consistent that for every function f : R×R → R there is an uncountable set A ⊆ R and two continuous functions f0, f1 : D(A) → R such that f(α,β) ∈ {f0(α,β),f1(α,β)} for every (α,β) ∈ A2,α≠β.

Original languageEnglish
Pages (from-to)229-240
Number of pages12
JournalAnnals of Pure and Applied Logic
Volume103
Issue number1-3
DOIs
StatePublished - 15 May 2000

Keywords

  • Continuous functions
  • Forcing
  • Primary 03E35

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