Strong implicative hyper -ideals.
Jun, Young Bae, Kim, Kyung Ho, Roh, Eun Hwan (2006)
International Journal of Mathematics and Mathematical Sciences
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Jun, Young Bae, Kim, Kyung Ho, Roh, Eun Hwan (2006)
International Journal of Mathematics and Mathematical Sciences
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Piotr Kalemba (2015)
Open Mathematics
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The ideal (v0) is known in the literature and is naturally linked to the structure [ω]ω. We consider some natural counterpart of the ideal (v0) related in an analogous way to the structure Dense(ℚ) and investigate its combinatorial properties. By the use of the notion of ideal type we prove that under CH this ideal is isomorphic to (v0).
Joseph Neggers, Young Bae Jun, Hee Sik Kim (1999)
Mathematica Slovaca
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Rosłanowski, Andrzej, Shelah, Saharon (1997)
Journal of Applied Analysis
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Kondo, Michiro (2001)
International Journal of Mathematics and Mathematical Sciences
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Rafał Filipów, Nikodem Mrożek, Ireneusz Recław, Piotr Szuca (2013)
Commentationes Mathematicae Universitatis Carolinae
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We show that the ideal of nowhere dense subsets of rationals cannot be extended to an analytic P-ideal, ideal nor maximal P-ideal. We also consider a problem of extendability to a non-meager P-ideals (in particular, to maximal P-ideals).
Eugene M. Norris (1974)
Matematický časopis
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