Sh:606

• Shelah, S. (1999). On T_3-topological space omitting many cardinals. Period. Math. Hungar., 38(1-2), 87–98. arXiv: math/9811177 DOI: 10.1023/A:1004707417470 MR: 1721480
• Abstract:
  We prove that for every (infinite cardinal) \lambda there is a T_3-space X with clopen basis, 2^\mu points where \mu = 2^\lambda, such that every closed subspace of cardinality <|X| has cardinality <\lambda.
• Version 2000-04-14_10 (15p) published version (12p)

@article{Sh:606,
 author = {Shelah, Saharon},
 title = {{On $T_3$-topological space omitting many cardinals}},
 journal = {Period. Math. Hungar.},
 fjournal = {Periodica Mathematica Hungarica. Journal of the J\'anos Bolyai Mathematical Society},
 volume = {38},
 number = {1-2},
 year = {1999},
 pages = {87--98},
 issn = {0031-5303},
 mrnumber = {1721480},
 mrclass = {54A25 (54D15)},
 doi = {10.1023/A:1004707417470},
 note = {\href{https://arxiv.org/abs/math/9811177}{arXiv: math/9811177}},
 arxiv_number = {math/9811177}
}