Inverse component cropping sequences and connected inverse limits over intervals

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

Abstract

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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逆分量裁剪序列和区间上的连通逆极限
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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