Mathias forcing and combinatorial covering properties of filters

David Chodounský (Author), Dušan Repovš (Author), Lyubomyr Zdomskyy (Author)

Abstract

We give topological characterizations of filters ▫$\mathcal{F}$▫ on ▫$w$▫ such that the Mathias forcing ▫$M_\mathcal{F}$▫ adds no dominating reals or preserves ground model unbounded families. This allows us to answer some questions of Brendle, Guzmán, Hrušák, Martínez, Minami, and Tsaban.

Keywords

matematika;topologija;topološki prostori;filter;ideal;mathematics;topology;Menger space;Hurewicz space;$\gamma$-space;Mathias forcing;

Data

Language:	English
Year of publishing:	2015
Typology:	1.01 - Original Scientific Article
Organization:	UL FMF - Faculty of Mathematics and Physics
UDC:	515.122:510.3
COBISS:	17556057
ISSN:	0022-4812
Views:	482
Downloads:	400
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	Slovenian
Secondary keywords:	matematika;topologija;topološki prostori;filter;ideal;
Type (COBISS):	Article
Pages:	str. 1398-1410
Volume:	ǂVol. ǂ80
Issue:	ǂno. ǂ4
Chronology:	2015
DOI:	http://dx.doi.org/10.1017/jsl.2014.73
ID:	11236306