check
Logic Seminar - Yair Hayut | Einstein Institute of Mathematics

Logic Seminar - Yair Hayut

Date: 
Wed, 14/11/201811:00-13:00
Location: 
Ross 63

Global Chang's Conjecture

Yair Hayut - (joint with Monroe Eskew)

For $\kappa < \lambda$ infinite cardinals let us consider the following generalization of the Lowenheim-Skolem theorem:
"For every algebra with countably many operations over $\lambda^+$ there is a sub-algebra with order type exactly $\kappa^+$".

We will discuss the consistency and inconsistency of some global versions of this statement and present some open questions.