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- W1954178052 abstract "We prove the following two theorems. Theorem 1. Let $X$ be a strongly meager subset of $2^{omega times omega }$. Then it is dual Ramsey null. We will say that a $sigma$-ideal $mathcal {I}$ of subsets of $2^{omega }$ satisfies the condition $(ddagger )$ iff for every $X subseteq 2^omega$, if [ forall _{f in omega ^{uparrow omega }} lbrace g in omega ^{uparrow omega }colon neg (f prec g) rbrace cap X in mathcal {I}, ] then $X in mathcal {I}$. Theorem 2. The $sigma$-ideals of perfectly meager sets, universally meager sets and perfectly meager sets in the transitive sense satisfy the condition $(ddagger )$." @default.
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- W1954178052 date "2003-05-09" @default.
- W1954178052 modified "2023-09-27" @default.
- W1954178052 title "Some remarks on totally imperfect sets" @default.
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- W1954178052 doi "https://doi.org/10.1090/s0002-9939-03-06997-1" @default.
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