Abstract

UZCATEGUI AYLWIN, Carlos. Ideals on countable sets: a survey with questions. Integración - UIS [online]. 2019, vol.37, n.1, pp.167-198. ISSN 0120-419X.  https://doi.org/10.18273/revint.v37n1-2019009.

An ideal on a set X is a collection of subsets of X closed under the operations of taking finite unions and subsets of its elements. Ideals are a very useful notion in topology and set theory and have been studied for a long time. We present a survey of results about ideals on countable sets and include many open questions.

MSC2010: 03E15, 03E05, 54H05.

Keywords : Ideals on countable sets; Ramsey properties; p-ideals; p⁺-ideals; q⁺-ideals; representation of ideals.

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