Sh:1276

• Larson, P. B., & Shelah, S. Discontinuous homomorphisms without Hamel bases. Preprint. arXiv: 2606.08384
• Abstract:
  We produce a model of ZF + DC in which there exists a discontinuous homomorphism from (\mathbb{R}, +) to itself but no Hamel basis for \mathbb{R} and prove a generalization of this result in terms of internal direct sums.
• Version 2026-07-24 (22p)

@article{Sh:1276,
 author = {Larson, Paul B. and Shelah, Saharon},
 title = {{Discontinuous homomorphisms without Hamel bases}},
 note = {\href{https://arxiv.org/abs/2606.08384}{arXiv: 2606.08384}},
 arxiv_number = {2606.08384}
}