Indestructibility of ideals and MAD families

0541171 - MÚ 2022 RIV NL eng J - Journal Article
Chodounský, David - Guzmán, O.
Indestructibility of ideals and MAD families.
Annals of Pure and Applied Logic. Roč. 172, č. 5 (2021), č. článku 102905. ISSN 0168-0072. E-ISSN 1873-2461
Institutional support: RVO:67985840
Keywords : almost disjoint families * Cardinal invariants of the continuum * generic existence * indestructibility
OECD category: Pure mathematics
Impact factor: 0.776, year: 2021
Method of publishing: Limited access
https://doi.org/10.1016/j.apal.2020.102905

In this survey paper we collect several known results on destroying tall ideals on countable sets and maximal almost disjoint families with forcing. In most cases we provide streamlined proofs of the presented results. The paper contains results of many authors as well as a preview of results of a forthcoming paper of Brendle, Guzmán, Hrušák, and Raghavan.
Permanent Link: http://hdl.handle.net/11104/0318777