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When the Weak Separation Condition implies the Generalized Finite Type Condition
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2021-02-04 , DOI: 10.1090/proc/15307 Kathryn Hare , Kevin Hare , Alex Rutar
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2021-02-04 , DOI: 10.1090/proc/15307 Kathryn Hare , Kevin Hare , Alex Rutar
Abstract:We prove that an iterated function system of similarities on 
that satisfies the weak separation condition and has an interval as its self-similar set is of generalized finite type. It is unknown if the assumption that the self-similar set is an interval is necessary.
中文翻译：
当弱分离条件隐含广义有限类型条件时
摘要：我们证明了一个相似的迭代函数系统满足弱分离条件并且由于其自相似集是广义有限类型而具有一个区间。未知是否需要假设自相似集是一个区间。
更新日期：2021-04-12
that satisfies the weak separation condition and has an interval as its self-similar set is of generalized finite type. It is unknown if the assumption that the self-similar set is an interval is necessary. 中文翻译：
当弱分离条件隐含广义有限类型条件时
摘要：我们证明了一个相似的迭代函数系统满足弱分离条件并且由于其自相似集是广义有限类型而具有一个区间。未知是否需要假设自相似集是一个区间。
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