Sh:736

• Rosłanowski, A., & Shelah, S. (2006). Measured creatures. Israel J. Math., 151, 61–110. arXiv: math/0010070 DOI: 10.1007/BF02777356 MR: 2214118
• Abstract:
  Using forcing with measured creatures we build a universe of set theory in which (a) every sup-measurable function f:{\mathbb R}^2\longrightarrow{\mathbb R} is measurable, and (b) every function f:{\mathbb R}\longrightarrow{\mathbb R} is continuous on a non-measurable set. This answers von Weizsäcker’s problem (see Fremlin’s list of problems) and a question of Balcerzak, Ciesielski and Kharazishvili.
• Version 2004-12-16_11 (40p) published version (50p)

@article{Sh:736,
 author = {Ros{\l}anowski, Andrzej and Shelah, Saharon},
 title = {{Measured creatures}},
 journal = {Israel J. Math.},
 fjournal = {Israel Journal of Mathematics},
 volume = {151},
 year = {2006},
 pages = {61--110},
 issn = {0021-2172},
 mrnumber = {2214118},
 mrclass = {03E35 (03E05 03E40 28E15 34A12)},
 doi = {10.1007/BF02777356},
 note = {\href{https://arxiv.org/abs/math/0010070}{arXiv: math/0010070}},
 arxiv_number = {math/0010070}
}