Effective domain representations of H(X), the space of compact subsets

被引:8
|
作者
Blanck, J [1 ]
机构
[1] Univ Uppsala, Dept Math, SE-75106 Uppsala, Sweden
关键词
computability; domain theory; representations; iterated function systems;
D O I
10.1016/S0304-3975(98)00282-5
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper gives effective domain representations of spaces H(X) of non-empty compact subsets of effective complete metric spaces X. The domain representation of H(X) is constructed from a domain representation of X using the Plotkin power domain construction. As an application of the representation an effective version of a fundamental theorem on IFS (iterated function system) is shown. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
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页码:19 / 48
页数:30
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