On automorphisms of $\mathcal{P}(\lambda )/[\lambda {]}^{<\lambda }$

Jakob Kellner, Anda Latif, Saharon Shelah

We investigate the statement ``all automorphisms of $\mathcal{P}(\lambda )/[\lambda {]}^{<\lambda }$ are trivial''. We show that MA implies the statement for regular uncountable $\lambda <2^{{\aleph }_0}$; that the…