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math.LO2016
Filter-Laver Measurability
Yurii Khomskii
We study sigma-ideals and regularity properties related to the "filter-Laver" and "dual-filter-Laver" forcing partial orders. An important innovation which enables this study is a…
math.LO2016
Cofinalities of Marczewski-like ideals
Joerg Brendle, Yurii Khomskii, Wolfgang Wohofsky
We show that the cofinalities of both the Miller ideal m^0 (the sigma-ideal naturally related to Miller forcing) and the Laver ideal ell^0 (related to Laver forcing) are larger tha…