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5Adjoining Cofinitary PermutationsJournal of Symbolic Logic 64 (4): 1803-1810. 1999.We show that it is consistent with ZFC + $\neg$CH that there is a maximal cofinitary group G $\leq$ Sym such that G is a proper subset of an almost disjoint family A $\subseteq$ Sym and |G| < |A|. We also ask several questions in this area.
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11Adjoining cofinitary permutationsArchive for Mathematical Logic 42 (2): 153-163. 2003.We construct several forcing models in each of which there exists a maximal cofinitary group, i.e., a maximal almost disjoint group, G≤Sym, such that G is also a maximal almost disjoint family in Sym. We also ask several open questions in this area in the fourth section of this paper.
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55Analytic and coanalytic families of almost disjoint functionsJournal of Symbolic Logic 73 (4): 1158-1172. 2008.If F ⊆ NN is an analytic family of pairwise eventually different functions then the following strong maximality condition fails: For any countable H ⊆ NN. no member of which is covered by finitely many functions from F, there is f ∈ F such that for all h ∈ H there are infinitely many integers k such that f(k) = h(k). However if V = L then there exists a coanalytic family of pairwise eventually different functions satisfying this strong maximality condition
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23Cardinal invariants related to permutation groupsAnnals of Pure and Applied Logic 143 (1-3): 139-146. 2006.We consider the possible cardinalities of the following three cardinal invariants which are related to the permutation group on the set of natural numbers: the least cardinal number of maximal cofinitary permutation groups; the least cardinal number of maximal almost disjoint permutation families; the cofinality of the permutation group on the set of natural numbers.We show that it is consistent with that ; in fact we show that in the Miller model
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70Cofinitary groups, almost disjoint and dominating familiesJournal of Symbolic Logic 66 (3): 1259-1276. 2001.In this paper we show that it is consistent with ZFC that the cardinality of every maximal cofinitary group of Sym(ω) is strictly greater than the cardinal numbers o and a
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2Cofinitary Groups, almost Disjoint and Dominating FamiliesJournal of Symbolic Logic 66 (3): 1259-1276. 2001.In this paper we show that it is consistent with ZFC that the cardinality of every maximal cofinitary group of Sym is strictly greater than the cardinal numbers $\mathfrak{o}$ and $\mathfrak{a}$.
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43Children with positive attitudes towards mind-wandering provide invalid subjective reports of mind-wandering during an experimental taskConsciousness and Cognition 35 136-142. 2015.
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8Ru jia wen yi mei xue: cong yuan shi ru jia dao xian dai xin ru jiaNan kai da xue chu ban she. 2004.国家社会科学基金项目获“高等学校优秀青年教师教学科研奖励计划资助”(TRAPOYT)
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Peking UniversityDepartment of Philosophy and Religious Studies