arXiv Open Access 2010

Monotone hulls for N cap M

Andrzej Roslanowski Saharon Shelah

Lihat Sumber

Abstrak

Using the method of decisive creatures (math.LO/0601083) we show the consistency of "there is no increasing omega_2 --chain of Borel sets and non(N)=non(M)= omega_2=2^omega". Hence, consistently, there are no monotone hulls for the ideal M cap N . This answers Balcerzak and Filipczak. Next we use FS iteration with partial memory to show that there may be monotone Borel hulls for the ideals M, N even if they are not generated by towers.

Topik & Kata Kunci

math.LO

Penulis (2)

Andrzej Roslanowski

Saharon Shelah

Format Sitasi

APA MLA BibTeX

Roslanowski, A., Shelah, S. (2010). Monotone hulls for N cap M. https://arxiv.org/abs/1007.5368

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2010
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓