| 二型集合与二型序数 |
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| 引用本文： | 张锦文.二型集合与二型序数[J].河南师范大学学报(自然科学版),1984(3). |
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| 作者姓名： | 张锦文 |
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| 作者单位： | 中国科学院计算机研究所 副研究员 |
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| 摘 要： | 本文论述聚合(二型集合)的合理性,并定义了二型序数的概念,建立了有关它的性质的定理,推广了序数的共尾概念,证明了二型序数ω_2不与任意的一型序数共尾,从而获得cf(ω_2,0)=ω_2,0.
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CONGLOMERATES AND ORDINAL NUMBER OF THE TYHE 2 |
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| Abstract: | We have Seen that in Category theory we are confronted with extremely larg "Collections" such as "all Sets", "all groups" or "all topological Space s." These entities cannot be regarded as sets, but as proper classes.However, itis essential that those who work in catagory theory be able to deal with proper classes. There have been several attempts to find a suitable foundation for category theory.For this reason following, We introduce the broader concept of Conglomerates (i.e., Sets of type 2). Poughly speaking, Conglomerates, are "Collections" having proper classes or Conglomerates as members.In particularg, we require that: |
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