小超限秩的一致链
Unifom chains of small transfinite rank
摘要:
本文将F.Pastjin关于有限秩的一致可分解链的构造推广到秩“在极限上有限”的一致可分解链,并研究了这类链的无穷乘积和并.我们推导出一个扩展Pastjin的特征,小超限秩(小于或等于“欧米茄+欧米茄”)的一致可分解链。最后,我们指出如何得到的描述可以迭代到链的排名“欧米茄到欧米茄”,并超越。
英文摘要:
We extend F.Pastjin's construction of uniform decomposable chains of finite rank to those of rank 'finite over a limit' and investigate infinite products and unions of such chains. We derive an extension of Pastjin's characterisation to uniform decomposable chains of small transfinite rank (less than or equal to 'omega+omega'). We conclude by indicating how the resulting descriptions can be iterated to chains of rank 'omega to the omega', and beyond.
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