Ważewski's universal dendrite as an inverse limit with one set-valued bonding function
نویسندگان
چکیده
منابع مشابه
One-dimensional Inverse Limits with Set-valued Functions
In this paper we show that an inverse limit is 1-dimensional whenever the bonding functions are upper semi-continuous from [0, 1] into C([0, 1]) and dim(G(fi ◦ fi+1 ◦ · · · ◦ fj)) = 1 for all integers i and j, 1 ≤ i ≤ j. We apply this result to show that such an inverse limit is treelike and also to show that unions of certain finite collections of interval-valued upper semi-continuous function...
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ژورنال
عنوان ژورنال: Glasnik Matematicki
سال: 2013
ISSN: 0017-095X
DOI: 10.3336/gm.48.1.12