逆分量裁剪序列和区间上的连通逆极限

Pub Date : 2018-12-30 DOI:10.3336/GM.53.2.09

I. Banič, Matevz Crepnjak

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引用次数: 1

摘要

给出了具有上半连续键函数fi:[0,1]和[0,1]的逆序列的一个刻划，其中以fi为键函数的逆序列的逆极限是连通的。作为副产物，我们得到了具有单键函数的逆序列的连通逆极限的另一个表征。

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Inverse component cropping sequences and connected inverse limits over intervals

We give a characterization of inverse sequences with upper semicontinuous bonding functions fi : [0, 1] ⊸ [0, 1] for which the inverse limit of the inverse sequence with f i as bonding functions is connected. As a byproduct, we obtain another characterization of connected inverse limits of inverse sequences with a single bonding function.

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