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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