When automorphisms of are trivial off a small set
Volume 235 / 2016
Fundamenta Mathematicae 235 (2016), 167-181
MSC: 03E17, 03E35.
DOI: 10.4064/fm222-2-2016
Published online: 30 May 2016
Abstract
It is shown that if \kappa \gt 2^{\aleph _0} and \kappa is less than the first inaccessible cardinal then every automorphism of \mathcal P(\kappa )/[\kappa ]^{ \lt \aleph _0} is trivial outside of a set of cardinality 2^{\aleph _0}.