Δ-related函数和广义逆极限

IF 0.5 4区数学 Q3 MATHEMATICS

Glasnik Matematicki Pub Date : 2019-12-11 DOI:10.3336/gm.54.2.09

Tina Sovič

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引用次数: 0

摘要

对于任意连续单值函数f, g:[0,1]→[0,1]，我们用上半连续集值函数f, g:[0,1]与上半连续集值函数f, g:[0,1]与上半连续集值函数f, g:[0,1]的图分别定义为f和g的集值逆图的对角线∆的并。我们引入了当两个函数是∆相关的，并证明了如果f和g是∆相关的，则lim−c f和lim−c g的逆极限是同胚的。我们还给出了lim−G是lim−F的商空间的条件。

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Δ-related functions and generalized inverse limits

For any continuous single-valued functions f, g : [0, 1] → [0, 1] we define upper semicontinuous set-valued functions F,G : [0, 1] ⊸ [0, 1] by their graphs as the unions of the diagonal ∆ and the graphs of setvalued inverses of f and g respectively. We introduce when two functions are ∆-related and show that if f and g are ∆-related, then the inverse limits lim − ⊸ F and lim − ⊸ G are homeomorphic. We also give conditions under which lim − ⊸ G is a quotient space of lim − ⊸ F .

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来源期刊

Glasnik Matematicki MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Glasnik Matematicki publishes original research papers from all fields of pure and applied mathematics. The journal is published semiannually, in June and in December.