Yorioka introduced a class of ideals (parametrized by reals) on the Cantor space to prove that the relation between the size of the continuum and the cofinality of the strong measure zero ideal on the real line cannot be decided in sans-serifZFC. We construct a matrix iteration of c.c.c. posets to force that, for many ideals in that class, their associated cardinal invariants (i.e., additivity, covering, uniformity and cofinality) are pairwise different. In addition, we show that, consistently, the additivity and cofinality of Yorioka ideals does not coincide with the additivity and cofinality (respectively) of the ideal of Lebesgue measure zero subsets of the real line.
Reports of cases of splenic metastasis are very rare, even more so when they are derived from a mucinous adenocarcinoma of the cecum. The most common presentation of a solitary splenic metastasis is from lung primary tumors, endometrium, ovary, cervix, stomach, colon, breast, bladder, and skin. We report the case of an 84-year-old woman with a solitary splenic metastasis from a mucinous adenocarcinoma of the cecum. Until this work, only 18 cases of solitary splenic metastases from colorectal carcinomas have been described in the literature.
Let SN be the strong measure zero σ-ideal. We prove a result providing bounds for cof(SN ), similar to Yorioka's 2020 result on SN . This is used to prove that add(SN ) = cof(SN ) < non(SN ) < cof(SN ) is consistent with ZFC (via a matrix iteration forcing construction).
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