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• W1670331140 abstract "In this paper we study a new ideal WR . The main result is the following: an ideal is not weakly Ramsey if and only if it is above WR in the Katětov order. Weak Ramseyness was introduced by Laflamme in order to characterize winning strategies in a certain game. We apply result of Natkaniec and Szuca to conclude that WR is critical for ideal convergence of sequences of quasi-continuous functions. We study further combinatorial properties of WR and weak Ramseyness. Answering a question of Filipów et al. we show that WR is not 2-Ramsey, but every ideal on ω isomorphic to WR is Mon (every sequence of reals contains a monotone subsequence indexed by an I -positive set)." @default.
• W1670331140 created "2016-06-24" @default.
• W1670331140 creator A5052726386 @default.
• W1670331140 date "2015-10-01" @default.
• W1670331140 modified "2023-09-24" @default.
• W1670331140 title "A note on a new ideal" @default.
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• W1670331140 doi "https://doi.org/10.1016/j.jmaa.2015.05.042" @default.
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