Sh:722

• Bartoszyński, T., & Shelah, S. (2001). Continuous images of sets of reals. Topology Appl., 116(2), 243–253. arXiv: math/0001051 DOI: 10.1016/S0166-8641(00)00079-1 MR: 1855966
• Abstract:
  We show that, consistently, every uncountable set can be continuously mapped onto a non measure zero set, while there exists an uncountable set whose all continuous images into a Polish space are meager.
• Version 2000-04-18_11 (10p) published version (11p)

@article{Sh:722,
 author = {Bartoszy{\'n}ski, Tomek and Shelah, Saharon},
 title = {{Continuous images of sets of reals}},
 journal = {Topology Appl.},
 fjournal = {Topology and its Applications},
 volume = {116},
 number = {2},
 year = {2001},
 pages = {243--253},
 issn = {0166-8641},
 mrnumber = {1855966},
 mrclass = {03E17 (03E35 54A35)},
 doi = {10.1016/S0166-8641(00)00079-1},
 note = {\href{https://arxiv.org/abs/math/0001051}{arXiv: math/0001051}},
 arxiv_number = {math/0001051}
}