Geodesic
Reductions between meager ideals
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 4, pp. 213-219.

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We construct a nonmeager ideal, which is not a P-ideal yet $\mathrm{Fin}\times\varnothing$ is not reducible to it. 
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I. Farah. Reductions between meager ideals. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 4, pp. 213-219. http://geodesic.mathdoc.fr/item/FPM_2005_11_4_a16/

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