Todorcevic's Problem on Rado's Conjecture
Monroe Eskew, Rahman Mohammadpour
TL;DR
This paper demonstrates the consistency of Rado's Conjecture holding at all regular cardinals, addressing a longstanding question related to Todorcevic's problem.
Contribution
It proves the consistency of Rado's Conjecture across all regular cardinals, extending previous results and resolving a question posed by Todorcevic.
Findings
Rado's Conjecture can be consistent at all regular cardinals
Addresses Todorcevic's problem from 2024
Advances understanding of combinatorial set theory
Abstract
In his Mostowski lecture in Wroc{\l}aw in 2024, Stevo Todor\v{c}evi\'c asked whether it is consistent that Rado's Conjecture holds at two successive cardinals. We show that it is consistent that Rado's Conjecture holds at all regular cardinals.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Limits and Structures in Graph Theory · Algebraic Geometry and Number Theory