In this paper, we investigate properties of inverse limits with upper semi-continuous bonding functions whose inverse functions are continuous. In particular, under the condition where each factor space is an arbitrary compactum, we give a sufficient condition for inverse sequences with upper semi-continuous bonding functions to have the full projection property.

中文翻译：

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具有上半连续键合函数且其反函数是连续的逆极限

在本文中，我们研究具有反函数连续的上半连续键合函数的反极限的性质。特别地，在每个因子空间是任意紧实线的条件下，我们为具有上半连续键合函数的逆序列提供充分的投影特性提供了充分的条件。