Sh:594

• Shelah, S. (1998). There may be no nowhere dense ultrafilter. In Logic Colloquium ’95 (Haifa), Vol. 11, Springer, Berlin, pp. 305–324. arXiv: math/9611221 DOI: 10.1007/978-3-662-22108-2_17 MR: 1690694
• Abstract:
  We show the consistency of ZFC + "there is no NWD-ultrafilter on \omega", which means: for every non principle ultrafilter D on the set of natural numbers, there is a function f from the set of natural numbers to the reals, such that for some nowhere dense set A of reals, the set \{n: f(n)\in A\} is not in D. This answers a question of van Douwen, which was put in more general context by Baumgartner
• Version 2018-09-10_10 (25p) published version (12p)

@incollection{Sh:594,
 author = {Shelah, Saharon},
 title = {{There may be no nowhere dense ultrafilter}},
 booktitle = {{Logic Colloquium '95 (Haifa)}},
 series = {Lecture Notes Logic},
 volume = {11},
 year = {1998},
 pages = {305--324},
 publisher = {Springer, Berlin},
 mrnumber = {1690694},
 mrclass = {03E05 (03E35)},
 doi = {10.1007/978-3-662-22108-2_17},
 note = {\href{https://arxiv.org/abs/math/9611221}{arXiv: math/9611221}},
 arxiv_number = {math/9611221}
}