Acta Mathematica Hungarica

, Volume 159, Issue 1, pp 1–26 | Cite as

The colouring existence theorem revisited

  • S. ShelahEmail author


We prove a better colouring theorem for \(\aleph_4\) and even \(\aleph_3\). This has a general topology consequence.

Key words and phrases

set theory combinatorial set theory colouring partition relation 

Mathematics Subject Classification

primary 03E02 03E05 secondary 03E04 03E75 


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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2019

Authors and Affiliations

  1. 1.Einstein Institute of Mathematics, Edmond J. Safra Campus, Givat RamThe Hebrew University of JerusalemJerusalemIsrael
  2. 2.Department of Mathematics, Hill Center – Busch Campus RutgersThe State University of New JerseyPiscatawayUSA

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