Generalized Baire spaces - definability and paradoxical sets

• Applicant: Professor Dr. Ralf Schindler
• Subject Area: Mathematics
• Term: from 2019 to 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 428519768

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