Authors: Raghavan, Dilip
Todorčević, Stevo 
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: A combinatorial property of rho-functions
Journal: Acta Mathematica Hungarica
Issue Date: 5-Jul-2022
Rank: M22
ISSN: 0236-5294
DOI: 10.1007/s10474-022-01237-y
Abstract: 
We show that if T is any Hausdorff topology on ω1, then any subset of ω1 which is homeomorphic to the rationals under T can be refined to a homeomorphic copy of the rationals on which ρ¯ is shift-increasing.
Keywords: partition calculus | Ramsey degree | rationals | strong coloring
Publisher: Springer Link

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