Logic Colloquium 2022

Special Session

Recursive coloring without Δ30 witness for Hindman theorem

Yuke Liao

On  Mo, 17:00 ! Livein  M209for  30min
PDF Abstract
On-site

We give an example of a recursive coloring of integers which has no Δ30 witness for Hindman theorem and an example of a recursive coloring of integers such that any Π30 set of integers whose any two elements are apartness is not a witness for Hindman theorem.

References

[1]
Andreas R. Blass,Jeffry L. Hirst,Stephen G. Simpson, LOGICAL ANALYSIS OF SOME THEOREMS OF COMBINATORICS AND TOPOLOGICAL DYNAMI, Contemporary Mathematics, vol. 65 (1987), pp. 125–156.

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