Uncountable structures are not classifiable up to bi-embeddability

Filippo Calderoni, Heike Mildenberger, Luca Motto Ros

Answering some of the main questions from [MR13], we show that whenever $\kappa$ is a cardinal satisfying ${\kappa }^{<\kappa }=\kappa >\omega$, then the embeddability relation between $\kappa$-sized structures…