This project studies "paradoxical" sets of reals, or more generally "paradoxical" subsets of higher Baire spaces, which may be constructed from a well-order of the underlying space. A prototype example is a Hamel basis, i.e., a basis for the reals, construed as a vector space over the rationals. We aim to construct models in which those types of sets exist but which do not admit a well-ordering of the respective space.
DFG Programme
Research Grants
