A Note on Strongly Almost Disjoint Families
文献类型：期刊论文
| 作者 | Shen, Guozhen1,2 |
| 刊名 | NOTRE DAME JOURNAL OF FORMAL LOGIC
 |
| 出版日期 | 2020-05-01 |
| 卷号 | 61期号:2页码:227-231 |
| 关键词 | strongly almost disjoint family cardinality finite-to-one function axiom of choice |
| ISSN号 | 0029-4527 |
| DOI | 10.1215/00294527-2020-0002 |
| 英文摘要 | For a set M, let vertical bar M vertical bar denote the cardinality of M. A family F is called strongly almost disjoint if there is an n is an element of omega such that vertical bar A boolean AND B < n for any two distinct elements A, B of F. It is shown in ZF (without the axiom of choice) that, for all infinite sets M and all strongly almost disjoint families F subset of P(M), vertical bar F vertical bar < vertical bar P(M)vertical bar and there are no finite-to-one functions from P(M) into F, where P(M) denotes the power set of M. |
| 资助项目 | National Natural Science Foundation of China[11871464] |
| WOS研究方向 | Mathematics ; Science & Technology - Other Topics ; Philosophy |
| 语种 | 英语 |
| WOS记录号 | WOS:000530106300003 |
| 出版者 | DUKE UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51387]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Shen, Guozhen |
| 作者单位 | 1.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Shen, Guozhen. A Note on Strongly Almost Disjoint Families[J]. NOTRE DAME JOURNAL OF FORMAL LOGIC,2020,61(2):227-231. |
| APA | Shen, Guozhen.(2020).A Note on Strongly Almost Disjoint Families.NOTRE DAME JOURNAL OF FORMAL LOGIC,61(2),227-231. |
| MLA | Shen, Guozhen."A Note on Strongly Almost Disjoint Families".NOTRE DAME JOURNAL OF FORMAL LOGIC 61.2(2020):227-231. |
入库方式： OAI收割
来源：数学与系统科学研究院
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