2 papers
math.LO2024
Walks on uncountable ordinals and non-structure theorems for higher Aronszajn lines
Tanmay Inamdar, Assaf Rinot
It is proved that if there is an -Aronszajn line, then there is one that does not contain an -Countryman line. This solves a problem of Moore and stands in a sh…
math.LO2024
A Ramsey theorem for the reals
Tanmay Inamdar
We prove that for every colouring of pairs of reals with finitely-many colours, there is a set homeomorphic to the rationals which takes no more than two colours. This was conjectu…